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Aristov, Oleg Yurevich

Total publications: 40 (40)
in MathSciNet: 27 (27)
in zbMATH: 22 (22)
in Web of Science: 25 (25)
in Scopus: 17 (17)
Cited articles: 19
Citations: 64
Presentations: 20

Number of views:
This page:2423
Abstract pages:3653
Full texts:1264
References:533
Candidate of physico-mathematical sciences (1995)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: Banach modules; $C^*$-algebras; operator algebras; operator modules; homological theory of Banach and operator algebras; K-theory of $C^*$-algebras; noncommutative topology; Hopf-von Neumann algebras; Fourier algebra.

Subject:

Homology for algebras of analysis (Banach, locally convex, operator): homological epimorphisms, homological dimensions estimates, biprojectivity, approximate projectivity and flatness, Fouriier algebras and locally compact quantum groups.

Analysis on Lie groups: holomorphic functions of exponential type.

Noncommutative geometry: algebras of "noncommuting" smooth and analytic functions.

C*-algebras: tensor products, homotopic classification of simple algebras.

Banach spaces and modules: projective covers and radicals.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1991 (department of theory of functions and functional analysis). Ph.D. thesis 1995.

   
Main publications:
  1. O. Yu. Aristov, “The global dimension theorem for non-unital and certain other separable $C^*$-algebras”, Sb. Math., 186:9 (1995), 1223–1239  mathnet  crossref  mathscinet  zmath  isi  scopus
  2. O. Yu. Aristov, “On the homotopy equivalence of simple AI-algebras”, Sb. Math., 190:2 (1999), 165–191  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  3. O. Yu. Aristov, “Biprojective algebras and operator spaces”, Journal of Mathematical Sciences, 2002, 111, no. 2, 3369–3684  crossref  zmath
  4. O. Yu. Aristov, “On approximation of flat Banach modules by free modules”, Sb. Math., 196:11 (2005), 1553–1583  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
  5. O. Yu. Aristov, “Structure of biprojective Banach algebras with non-trivial radical”, Izv. Math., 72:6 (2008), 1111–1140  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  6. O. Yu. Aristov, “Holomorphic functions of exponential type on connected complex Lie groups”, J. Lie Theory, 29:4 (2019), 1045–1070 1903.08080  mathscinet  zmath  isi
  7. O. Yu. Aristov, “On holomorphic reflexivity conditions for complex Lie groups”, Proc. Edinburgh Math. Soc. (2), 64:4 (2021), 800–821 , arXiv: 2002.03617  mathnet  crossref  mathscinet  isi  scopus
  8. O. Yu. Aristov, “Functions of class $C^\infty$ in non-commuting variables in the context of triangular Lie algebras”, Izv. Math., 86:6 (2022), 1033–1071  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus

https://www.mathnet.ru/eng/person8346
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/349797

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. O. Yu. Aristov, “Envelopes in the class of Banach algebras of polynomial growth and $C^\infty$-functions of a finite number of free variables”, arXiv: 2401.10199
2. O. Yu. Aristov, “The Arens–Michael envelope of a solvable Lie algebra is a homological epimorphism” (Published online) , arXiv: 2404.19433
3. O. Yu. Aristov, “Finitely $C^\infty$-generated associative and Hopf algebras” (to appear) , arXiv: 2408.11333

   2024
4. O. Yu. Aristov, “Decomposition of the algebra of analytic functionals on a connected complex Lie group and its completions into iterated analytic smash products”, Algebra i Analiz, 36:4 (2024), 1–37 , arXiv: 2209.04192  mathnet
5. O. Yu. Aristov, “On density of polynomials in algebra of holomorphic functions of exponential type on linear Lie group”, Ufa Math. J., 16:2 (2024), 76–80 , arXiv: 2304.00507  mathnet  crossref
6. O. Yu. Aristov, “Holomorphically finitely generated Hopf algebras and quantum Lie groups”, Moscow Math. J., 24:2 (2024), 145-180 , arXiv: 2006.12175  crossref  isi

   2023
7. O. Yu. Aristov, “When a completion of the universal enveloping algebra is a Banach PI-algebra?”, Bull. Aust. Math. Soc, 107:3 (2023), 493–501 , arXiv: 2204.07393  crossref  mathscinet  isi 1
8. O. Yu. Aristov, “Length functions exponentially distorted on subgroups of complex Lie groups”, European Journal of Mathematics, 9 (2023), 60 (Published online) , arXiv: 2208.12667  crossref  mathscinet  isi 1
9. O. Yu. Aristov, “The structure of the linearizer of a connected complex Lie group”, Siberian Math. J., 64:2 (2023), 287–290 , arXiv: 2203.04145  mathnet  crossref  crossref  isi
10. O. Yu. Aristov, “Banach space representations of Drinfeld–Jimbo algebras and their complex-analytic forms”, Illinois J. Math., 67:2 (2023), 363-382 , arXiv: 2012.12565  crossref  mathscinet  isi
11. O. Yu. Aristov, “Topological properties of Arens-Michael envelopes of semigroup algebras”, in Russian, XVI Kazan International Summer School–Conference “Function theory, its applications and related topics” (Kazan, 2023), Proceedings of the Lobachevsky Mathematical Center, 66, KFU, 2023, 27–29 https://kpfu.ru/portal/docs/F_1160820648/Trudy_Matematicheskogo_centra_imeni_N_I_Lobachevskogo_T_66_v_23_08.pdf

   2022
12. O. Yu. Aristov, “Sheaves of Noncommutative Smooth and Holomorphic Functions Associated with the Non-Abelian Two-Dimensional Lie Algebra”, Math. Notes, 112:1 (2022), 17–25  mathnet  crossref  crossref  mathscinet  isi  scopus
13. O. Yu. Aristov, “Functions of class $C^\infty$ in non-commuting variables in the context of triangular Lie algebras”, Izv. Math., 86:6 (2022), 1033–1071  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
14. O. Yu. Aristov, “Holomorphic Reflexivity for Locally Finite and Profinite Groups: The Abelian and General Cases”, Math. Notes, 112:3 (2022), 339–348  mathnet  crossref  crossref  mathscinet  isi  scopus
15. O. Yu. Aristov, “An analytic criterion for the local finiteness of a countable semigroup”, Siberian Math. J., 63:3 (2022), 421-424 , arXiv: 2104.03230  mathnet  crossref  crossref  isi  scopus

   2021
16. O. Yu. Aristov, “The Relation “Commutator Equals Function” in Banach Algebras”, Math. Notes, 109:3 (2021), 323–334  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
17. O. Yu .Aristov, A. Yu. Pirkovskii, “Corrigendum to “Open embeddings and pseudoflat epimorphisms” [J. Math. Anal. Appl. 485 (2020) 123817]”, J. Math. Anal. Appl., 2021, 125204  crossref  zmath  isi  scopus
18. O. Yu. Aristov, “On holomorphic reflexivity conditions for complex Lie groups”, Proc. Edinburgh Math. Soc. (2), 64:4 (2021), 800–821 , arXiv: 2002.03617  mathnet  crossref  mathscinet  isi  scopus 4

   2020
19. O. Yu. Aristov, A. Yu. Pirkovskii, “Open embeddings and pseudoflat epimorphisms”, J. Math. Anal. Appl., 485 (2020), 123817 , arXiv: 1908.02117  crossref  mathscinet  zmath  isi  scopus 3
20. O. Yu. Aristov, N. V. Volosova, “Interpolation of protoquantum spaces”, Funct Anal Its Appl, 54 (2020), 141–144 https://doi.org/10.1134/S0016266320020070  mathnet  crossref  mathscinet  zmath  isi
21. O. Yu. Aristov, “Arens–Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type and homological epimorphisms”, Trans. Moscow Math. Soc., 81:1 (2020), 97–114 , arXiv: arXiv: 1810.13213  mathnet  crossref  mathscinet  zmath  elib  scopus

   2019
22. O. Yu. Aristov, “Holomorphic functions of exponential type on connected complex Lie groups”, J. Lie Theory, 29:4 (2019), 1045–1070 1903.08080  mathscinet  zmath  isi

   2016
23. O. Yu. Aristov, “Topological radical of a Banach module”, Studia Math., 234:2 (2016), 149–164  crossref  mathscinet  zmath  isi  elib  scopus
24. Oleg Yu. Aristov, Volker Runde, Nico Spronk, Zsolt Tanko,, “Corrigendum to: “Operator biflatness of the Fourier algebra and approximate indicators for subgroups” [J. Funct. Anal. 209 (2) (2004) 367–387]”, Journal of Functional Analysis, 270:6 (2016), 2381–2382  crossref  mathscinet  zmath  isi  scopus

   2008
25. O. Yu. Aristov, “Structure of biprojective Banach algebras with non-trivial radical”, Izv. Math., 72:6 (2008), 1111–1140  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2006
26. O. Yu. Aristov, “Projective covers of finitely generated Banach modules and the structure of some Banach algebras”, Extracta Math., 21:1 (2006), 1–26  mathscinet  zmath

   2005
27. O. Yu. Aristov, “Fourier algebras of certain connected groups are not projective”, Russian Math. Surveys, 60:1 (2005), 154–156  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
28. O. Yu. Aristov, “On approximation of flat Banach modules by free modules”, Sb. Math., 196:11 (2005), 1553–1583  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2004
29. O. Yu. Aristov, “Amenability and compact type for Hopf-von Neumann algebras from the homological point of view”, Banach Algebras and Their Applications, Contemp. Math., 363, eds. A. T.-M. Lau and V. Runde,, 2004, 15–38  crossref  mathscinet  zmath  isi 7
30. O. Yu. Aristov, V. Runde, N. Spronk, “Operator biflatness of the Fourier algebra and approximate indicators for subgroups”, Journal of Functional Analysis, 209:2 (2004), 367–387 https://doi.org/10.1016/S0022-1236(03)00169-1  crossref  mathscinet  zmath  isi  scopus 11

   2002
31. O. Yu. Aristov, “Biprojective algebras and operator spaces”, Journal of Mathematical Sciences, 2002, 111, no. 2, 3369–3684  crossref  zmath

   2000
32. O. Yu. Aristov, “On tensor products of strict $C^*$-algebras”, Fundam. Prikl. Mat., 6:4 (2000), 977–984  mathnet  mathscinet  zmath
33. O. Yu. Aristov, “Homological dimensions of C*-algebras”, Topological Homology. Helemskii Moscow Seminar, eds. A.Ya. Helemskii, Nova Science Publishers, Huntington, N.Y., 2000, 39–56  mathscinet  zmath
34. O. Yu. Aristov, “On the definition of a flat operator module”, Topological Homology. Helemskii Moscow Seminar, eds. A.Ya. Helemskii, Nova Science Publishers, Huntington, N.Y., 2000, 29–38  mathscinet  zmath

   1999
35. O. Yu. Aristov, “On the homotopy equivalence of simple AI-algebras”, Sb. Math., 190:2 (1999), 165–191  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
36. O. Yu. Aristov, “Representation of Schatten classes by operator algebras with the best homological properties”, in Russian, Function Theory, Applications and Adjacent questions, Kazan Math. Soc., Kazan, 1999, 21–24

   1995
37. O. Yu. Aristov, “The global dimension theorem for non-unital and certain other separable $C^*$-algebras”, Sb. Math., 186:9 (1995), 1223–1239  mathnet  crossref  mathscinet  zmath  isi  scopus
38. O. Yu. Aristov, On certain homological and structural characteristics of operator algebras, Ph.D. thesis (in Russian), Moscow State University, Moscow, 1995

   1994
39. O. Yu. Aristov, “Characterization of strict C*-algebras”, Studia Math., 112:1 (1994), 51–58 DOI: 10.4064/sm-112-1-51-58  crossref  mathscinet  zmath  isi 3

   1993
40. O. Yu. Aristov, “Nonvanishing of the secondary cohomologies of certain weakly amenable Banach algebras.”, Mosc. Univ. Math. Bull., 48:4 (1993), 46–48  mathnet  mathscinet  zmath  isi

Presentations in Math-Net.Ru
1. Finitely $C^\infty$-generated Hopf algebras
O. Yu. Aristov
Algebras in Analysis
October 11, 2024 16:00
2. Decomposition of algebras of analytic functionals and of their completions
O. Yu. Aristov
Algebras in Analysis
March 1, 2024 18:00
3. Algebras of free $C^\infty$-functions
O. Yu. Aristov
Algebras in Analysis
October 27, 2023 18:00
4. Íåêîììóòàòèâíûå $C^\infty$-äèôôåðåíöèðóåìûå àëãåáðû: ñòðóêòóðíîå ïðîñòðàíñòâî è ñòðóêòóðíûé ïó÷îê
O. Yu. Aristov
Noncommutative geometry and topology
October 20, 2022 16:45   
5. Completions of algebras of analytic functionals, PI algebras, and universal properties
O. Yu. Aristov
Algebras in Analysis
September 30, 2022 18:00
6. Complex analytic quantum groups
O. Yu. Aristov
Algebras in Analysis
March 25, 2022 18:00
7. Duaity for topological Hopf algebras associated to some discrete and profinite groups
O. Yu. Aristov
Algebras in Analysis
February 25, 2022 18:00
8. Sheaves of noncommutative smooth and holomorphic functions associated to some solvable Lie algebras
O. Yu. Aristov
Algebras in Analysis
November 12, 2021 18:00
9. Inverse limits of Banach algebras of polynomial growth, and $C^\infty$-functions of noncommuting variables
O. Yu. Aristov
Algebras in Analysis
September 17, 2021 18:00
10. Relation "commutator is a function" in Banach algebras
O. Yu. Aristov
Algebras in Analysis
October 25, 2019 18:05
11. Analytic functionals, smash products, and homological epimorphisms
O. Yu. Aristov
Algebras in Analysis
May 17, 2019 18:05
12. Äâîéñòâåííîñòü äëÿ òîïîëîãè÷åñêèõ àëãåáð Õîïôà è êâàíòîâûå êîìïëåêñíûå ãðóïïû Ëè
O. Yu. Aristov
Noncommutative geometry and topology
May 16, 2019 16:45
13. Holomorphic functions of exponential type on connected complex Lie groups
O. Yu. Aristov
Algebras in Analysis
November 2, 2018 18:05
14. Universal enveloping algebras, analytic functionals, and homological epimorphisms
O. Yu. Aristov
Algebras in Analysis
September 28, 2018 18:05
15. The Arens-Michael envelope of a nilpotent Lie algebra is a homological epimorphism
O. Yu. Aristov
Algebras in Analysis
May 11, 2018
16. Sufficient conditions for extending an algebra action on a Fréchet space, and attempts of noncommutative generalizations of J.L.Taylor's holomorphic functional calculus
O. Yu. Aristov
Algebras in Analysis
April 14, 2017 18:05
17. Complex interpolation and protoquantum spaces
O. Yu. Aristov
Algebras in Analysis
February 17, 2017 18:05
18. $C^\infty$-functions of noncommuting variables
O. Yu. Aristov
Algebras in Analysis
March 11, 2016 18:05
19. $C^\infty$-functional calculus. A missing link between Noncommutative Differential Geometry, Quantum Groups, and Operator Spaces (Quantum Functional Analysis)
O. Yu. Aristov
Algebras in Analysis
April 24, 2015 18:05
20. The smooth noncommutative Heisenberg plane as a universal object
O. Yu. Aristov
Algebras in Analysis
December 12, 2014 18:05

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