01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords:
C*-algebras, semigroup C*-algebras, universal C*-algebras, graded C*-algebras, crossed products of C*-algebras, inductive systems
Subject:
Crossed products of C*-algebras by groups and semigroups.
Extensions of semigroups and embeddings of semigroup C*-algebras.
Inductive systems of C*-algebras and limit automorphisms of C*-algebras.
Topologically graded C*-algebras and Banach modules.
Main publications:
E.V. Lipacheva, “Extensions of semigroups by the dihedral groups and semigroup C*-algebras”, Journal of Algebra and Its Applications, 23:2 (2024), 2450022
R.N. Gumerov, E.V. Lipacheva, “Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras”, Journal of Mathematical Analysis and Applications, 533:2 (2024), 127991
E. V. Lipacheva, “On Graded Semigroup $C^*$-Algebras and Hilbert Modules”, Proc. Steklov Inst. Math., 313 (2021), 120–130
E. V. Lipacheva, “Extensions of semigroups and morphisms of semigroup $C^*$-algebras”, Siberian Math. J., 62:1 (2021), 66–76
R. N. Gumerov, E. V. Lipacheva, T. A. Grigoryan, “On a Topology and Limits for Inductive Systems of C*-Algebras over Partially Ordered Sets”, International journal of Theoretical Physics, 60 (2021), 499–511
S. A. Grigoryan, E. V. Lipacheva, A. S. Sitdikov, “Nets of graded $C^*$-algebras over partially ordered sets”, St. Petersburg Math. J., 30:6 (2019), 901–915
E.V. Lipacheva, “Extensions of semigroups by the dihedral groups and semigroup C*-algebras”, Journal of Algebra and Its Applications, 23:2 (2024), 2450022
R.N. Gumerov, E.V. Lipacheva, “Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras”, Journal of Mathematical Analysis and Applications, 533:2 (2024), 127991
E.V. Lipacheva, “A semigroup C*-algebra for a semidirect product of semigroups”, Lobachevskii J. Math., 45:1 (2024), 452-461
4.
A. S. Kuklin , E. V. Lipacheva, “Universalnaya C*-algebra, porozhdennaya konusom v gruppe ratsionalnykh chisel”, Teoriya funktsii, teoriya operatorov i kvantovaya teoriya informatsii: sbornik materialov Mezhdunarodnoi nauchnoi konferentsii (Ufa, 8–12 iyunya 2024 g.), eds. otv. red. R.N. Garifullin, OOO “Aeterna”, Ufa, 2024, 60https://matem.anrb.ru/conf/sbornik24_1.pdf
5.
R. Gumerov, A. Kuklin, E. Lipacheva, “A universal property of semigroup C*-algebras generated by cones in groups of rationals”, Annals of Functional Analysis, 15:3 (2024), 72
2023
6.
E. Lipacheva, “On a Semigroup C*-Algebra for a Semidirect Product”, Lobachevskii J. Math., 44:6 (2023), 2118-2124
7.
I. Berdnikov, R. Gumerov, E. Lipacheva, K. Shishkin, “On C*-Algebra and *-Polynomial Relations”, Lobachevskii J. Math., 44:6 (2023), 1990-1997
E. Lipacheva, “Automorphisms of the semigroup C^*-algebra for the free product of semigroups of rational numbers”, III Mezhdunarodnaya konferentsiya «Matematicheskaya fizika, dinamicheskie sistemy, beskonechnomernyi analiz», posvyaschennaya 100-letiyu V.S. Vladimirova, 100-letiyu L.D. Kudryavtseva i 85-letiyu O.G. Smolyanova (Moskovskaya oblast, g. Dolgoprudnyi, 5–13 iyulya 2023 g.), OOO “Mesol”, Moskva, 2023, 122-123https://elibrary.ru/download/elibrary_54296225_49907510.pdf
E. V. Lipacheva, “On a representation of a semigroup $C^*$-algebra as a crossed product”, Russian Math. (Iz. VUZ), 66:8 (2022), 71–75
12.
E. V. Lipacheva, “Trivial extensions of semigroups and semigroup $C^*$-algebras”, Ufa Math. J., 14:2 (2022), 67–77
13.
I. S. Berdnikov, R. N. Gumerov, E. V. Lipacheva, “O prilozheniyakh nepreryvnosti involyutivnykh gomomorfizmov”, Mezhdunarodnaya nauchnaya shkola – konferentsiya ”Ekstremalnye problemy teorii funktsii”, posvyaschennaya 75-letiyu professora F. G. Avkhadieva (Kazan, 29-30 oktyabrya 2022 g.), Trudy Matematicheskogo tsentra imeni N.I. Lobachevskogo, 64, KFU, Kazan, 2022, 6https://drive.google.com/file/d/1PA7sYIiNIaZe1FFbzIG-Dht3U8Am_guh/view
I.S. Berdnikov, R.N. Gumerov, E.V. Lipacheva, “On polynomials over commutative C*-algebras”, International Conference ”Complex Analysis and Related Topics” (Kazan, June 30 – July 4, 2022), Proceedings of the Mathematical Center named after N.I. Lobachevsky, 63, KFU, Kazan, 2022, 11–12https://drive.google.com/file/d/183x3a7YG8yxYT4JimsQUuDw20uWAN4tG/view
2021
16.
E. V. Lipacheva, “On Graded Semigroup $C^*$-Algebras and Hilbert Modules”, Proc. Steklov Inst. Math., 313 (2021), 120–130
17.
S. A. Grigoryan, R. N. Gumerov, E. V. Lipacheva, “Limits of Inductive Sequences of Toeplitz–Cuntz Algebras”, Proc. Steklov Inst. Math., 313 (2021), 60–69
18.
E. V. Lipacheva, “Extensions of semigroups and morphisms of semigroup $C^*$-algebras”, Siberian Math. J., 62:1 (2021), 66–76
19.
I.S. Berdnikov, R.N. Gumerov, E.V. Lipacheva, “On the Stone–Čech Compactification Functor and the Normal Extensions of Monoids”, Lobachevskii J. Math., 42:10 (2021), 2295–2305
E. Lipacheva, “Graded Semigroup 𝐶*-Algebras and Banach Modules”, International Conf. “Mathematical Physics, Dynamical Systems, Infitite-Dimensional Analysis” 2021 (Dolgoprudny, 30 June - 9 July 2021), OOO “Mesol”, Moskva, 2021, 105–107https://www.elibrary.ru/download/elibrary_46314346_22680642.pdf
24.
R. N. Gumerov, E. V. Lipacheva, “Graded semigroup S*-algebras and non-commutative Fourier coefficients”, International online conference “One-Parameter Semigroups of Operators” (OPSO 2021) (Russia, Nizhny Novgorod, 5 – 9 April 2021), 2021, 140–141https://nnov.hse.ru/data/2021/04/04/1389605200/OPSO_2021_book_of_abstracts_v6.pdf
25.
R. N. Gumerov, E. V. Lipacheva, T. A. Grigoryan, “On a Topology and Limits for Inductive Systems of C*-Algebras over Partially Ordered Sets”, International journal of Theoretical Physics, 60 (2021), 499–511
R. N. Gumerov, E. V. Lipacheva, “Topological Grading of Semigroup C*-Algebras”, Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2020, no. 3(90), 44–55
S.A. Grigoryan, R.N. Gumerov, E.V. Lipacheva, “On Extensions of Semigroups and Their Applications to Toeplitz Algebras”, Lobachevskii J. Math., 40:12 (2019), 2052–2061
S. Grigoryan, R. Gumerov, E. Lipacheva, “On Inductive Systems of C*-algebras”, The First International Conf. “Mathematical Physics, Dynamical Systems, Infitite-Dimensional Analysis” 2019 (Dolgoprudny, 17–21 June 2019), OOO “Aeterna”, Moskva, 2019, 54
32.
E. Lipacheva, “Embedding Semigroup C*-algebras into Inductive Limits”, Lobachevskii J. Math., 40:5 (2019), 667–675
E. V. Lipacheva, “An example of a cosimple and co-commutative compact quantum semigroup”, Russian Math. (Iz. VUZ), 62:2 (2018), 62–68
34.
R. N. Gumerov, E. V. Lipacheva, T. A. Grigoryan, “On inductive limits for systems of $C^*$-algebras”, Russian Math. (Iz. VUZ), 62:7 (2018), 68–73
35.
E. V. Lipacheva, “On a class of graded ideals of semigroup $C^*$-algebras”, Russian Math. (Iz. VUZ), 62:10 (2018), 37–46
2019
36.
S. A. Grigoryan, E. V. Lipacheva, A. S. Sitdikov, “Nets of graded $C^*$-algebras over partially ordered sets”, St. Petersburg Math. J., 30:6 (2019), 901–915
2018
37.
T. Grigoryan, R. Gumerov, E. Lipacheva, “On Inductive Limits for Systems of C*-algebras”, International Conference Dedicated to the 100th anniversary of Mkhitar Djrbashyan (Yerevan, Armenia, October 22-24, 2018), 2018, 32
38.
R. N. Gumerov, E. V. Lipacheva, T. A. Grigoryan, “On Inductive Systems of C*-algebras arising in Algebraic Quantum Field Theory”, The 14th Biennial IQSA Conference «Quantum Structures - 2018» (Kazan, 16-20 July 2018), 2018, 29
E. V. Lipacheva, K. H. Hovsepyan, “Automorphisms of some subalgebras of the Toeplitz algebra”, Siberian Math. J., 57:3 (2016), 525–531
42.
S. A. Grigoryan, E. V. Lipacheva, “On the structure of $C^*$-algebras generated by representations of the elementary inverse semigroup”, Physics and mathematics, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158, no. 2, Kazan University, Kazan, 2016, 180–193
43.
S. Grigoryan, T. Grigoryan, E. Lipacheva, A. Sitdikov, “C*-Algebra generated by the paths semigroup”, Lobachevskii J. Math., 37:6 (2016), 740–748
E. V. Lipacheva, K. G. Ovsepyan, “The structure of $C^*$-subalgebras of the Toeplitz algebra fixed with respect to a finite group of automorphisms”, Russian Math. (Iz. VUZ), 59:6 (2015), 10–17
T.A. Grigoryan, E.V. Lipacheva, V.H.Tepoyan, “On the extension of the Toeplitz algebra”, International Workshop on Operator Theory and Applications IWOTA-2015 (Tbilisi, July 6 – 10), 2015, 71–72http://gmu.gtu.ge/iwota2015/Files/IWOTA_2015_ABSTRACTS.pdf
50.
E.V. Lipacheva, K.H. Hovsepyan, “The structure of invariant ideals of some subalgebras of Toeplitz algebra”, Journal of Contemporary Mathematical Analysis, 50:2 (2015), 70–79
2014
51.
M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “Operator approach to quantization of semigroups”, Sb. Math., 205:3 (2014), 319–342
52.
E. Lipacheva, “C*-algebras generated by representations of elementary inverse semigroup”, International Workshop on Operator Theory and Applications IWOTA-2014 (14-18 july, Amsterdam, Netherlands), 2014, 118https://math.vu.nl/~ran/iwota2014/programIWOTA2014_final_adjusted.pdf
53.
T.A. Grigoryan, E.V. Lipacheva, V.H.Tepoyan, “On the extension of the Toeplitz algebra by isometries”, Theta Series in Advanced Mathematics. “The Varied Landscape of Operator Theory”, Proceedings of the International Conference on Operator Theory (Timisoara, Romania, 2012), 2014, 137-146
2013
54.
M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “On compact quantum semigroup $QS_\mathrm{red}$”, Russian Math. (Iz. VUZ), 57:10 (2013), 54–58
55.
T. A. Grigoryan, E. V. Lipacheva, V. H. Tepoyan, “On $\pi$-extensions of the semigroup $\mathbb{Z}_+$”, Uch. zapiski EGU, ser. Fizika i Matematika, 2013, no. 1, 3–5
56.
M.A. Aukhadiev, S.A. Grigoryan, E.V. Lipacheva, “Polugruppovoi metod kvantovoi deformatsii”, Vestnik KGEU, 2013, no. 4(19), 16-24
57.
M. Aukhadiev, S. Grigoryan and E. Lipacheva, “Topology-preserving quantum deformation with non-numerical parameter”, Journal of Physics Conference Series, XXIST INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS21) (Czech Tech Univ, Prague, JUN 12-16, 2013), 474, 2013, 012007
58.
T. A. Grigoryan, E. V. Lipacheva, V. H. Tepoyan, “On p-Extentions of the Semigroup Z+”, Proceedings of the Yerevan State University. Physical and Mathematical Sciences, 2013, no. 1, 3–5
T. A. Grigoryan, E. V. Lipacheva, V. A. Tepoyan, “On the extension of the Toeplitz algebra”, Physics and mathematics, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 154, no. 4, Kazan University, Kazan, 2012, 130–138
M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “A compact quantum semialgebra generated by an isometry”, Russian Math. (Iz. VUZ), 55:10 (2011), 78–81
64.
M.A. Aukhadiev, E.V. Lipacheva, “Beskonechnomernaya kompaktnaya kvantovaya polugruppa”, 10-ya mezhdunarodnaya Kazanskaya letnyaya nauchnaya shkola-konferentsiya “Teoriya funktsii, ee prilozheniya i smezhnye voprosy” (Kazan, 01–07 iyulya 2011 g.), Trudy matematicheskogo tsentra imeni N.I. Lobachevskogo, K(P)FU, Kazan, 2011, 21–23
65.
M. Aukhadiev, S. Grigoryan and E. Lipacheva, “Infinite-Dimensional Compact Quantum Semigroup”, Lobachevskii. J. of Math., 32:4 (2011), 304-316