Abstract:
The paper presents a construction of the crossed product of a C∗-algebra by an endomorphism generated by partial isometry.
Bibliography: 26 titles.
Keywords:C∗-algebra, endomorphism, transfer operator, crossed product.
Citation:
A. B. Antonevich, V. I. Bakhtin, A. V. Lebedev, “Crossed product of a C∗-algebra by an endomorphism, coefficient algebras and transfer operators”, Sb. Math., 202:9 (2011), 1253–1283
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\paper Crossed product of a~$C^*$-algebra by an endomorphism, coefficient algebras and transfer operators
\jour Sb. Math.
\yr 2011
\vol 202
\issue 9
\pages 1253--1283
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Linking options:
https://www.mathnet.ru/eng/sm7703
https://doi.org/10.1070/SM2011v202n09ABEH004186
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This publication is cited in the following 19 articles:
V. I. Bakhtin, A. V. Lebedev, “On Relationships between the Spectral Potential of Transfer Operators, $\boldsymbol t$-Entropy, Entropy and Topological Pressure”, Russ. J. Math. Phys., 30:1 (2023), 1
A. Yu. Savin, “On Homotopy Classification of Elliptic Problems with Contractions and K-Groups of Corresponding C*-Algebras”, J Math Sci, 260:4 (2022), 555
A. Yu. Savin, “O gomotopicheskoi klassifikatsii ellipticheskikh zadach so szhatiyami i $K$-gruppakh sootvetstvuyuschikh $C^*$-algebr”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 64, no. 1, Rossiiskii universitet druzhby narodov, M., 2018, 164–179
Kwasniewski B.K., Szymanski W., “Pure infiniteness and ideal structure of $C^*$-algebras associated to Fell bundles”, J. Math. Anal. Appl., 445:1 (2017), 898–943
A. B. Antonevich, A. N. Buzulutskaya (Glaz), “Almost-Periodic Algebras and Their Automorphisms”, Math. Notes, 102:5 (2017), 610–622
Kwasniewski B.K., “Exel'S Crossed Product and Crossed Products By Completely Positive Maps”, Houst. J. Math., 43:2 (2017), 509–567
B. K. Kwaśniewski, “Crossed products by endomorphisms of $C_0(X)$-algebras”, J. Funct. Anal., 270:6 (2016), 2268–2335
B. K. Kwaśniewski, “Ideal structure of crossed products by endomorphisms via reversible extensions of $C^*$-dynamical systems”, Internat. J. Math., 26:3 (2015), 1550022, 45 pp.
B. K. Kwaśniewski, “Extensions of $C^*$-Dynamical Systems to Systems with Complete Transfer Operators”, Math. Notes, 98:3 (2015), 419–428
B. K. Kwaśniewski, “Crossed products for interactions and graph algebras”, Integr. Equ. Oper. Theory, 80:3 (2014), 415–451
M. A. Aukhadiev, A. S. Nikitin, A. S. Sitdikov, “Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra”, Russian Math. (Iz. VUZ), 58:8 (2014), 71–73
K. H. Hovsepyan, “The $C^*$-algebra $\mathfrak{T}_m$ as a crossed product”, Uch. zapiski EGU, ser. Fizika i Matematika, 2014, no. 3, 24–30
Dorin Ervin Dutkay, Palle E. T. Jorgensen, Springer Proceedings in Mathematics & Statistics, 88, Geometry and Analysis of Fractals, 2014, 65
Kwaśniewski B.K., “$C^*$-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras”, Trans. Amer. Math. Soc., 365:4 (2013), 1809–1873
Kwasniewski B.K., Lebedev A.V., “Crossed Products by Endomorphisms and Reduction of Relations in Relative Cuntz-Pimsner Algebras”, J. Funct. Anal., 264:8 (2013), 1806–1847
B. K. Kwaśniewski, Geometric Methods in Physics, 2013, 303
Astrid an Huef, Iain Raeburn, “Stacey crossed products associated to Exel systems”, Integral Equations Operator Theory, 72:4 (2012), 537–561
B. K. Kwaśniewski, “$C^*$-algebras associated with reversible extensions of logistic maps”, Sb. Math., 203:10 (2012), 1448–1489
Kwaśniewski B.K., “On transfer operators for $C^*$-dynamical systems”, Rocky Mountain J. Math., 42:3 (2012), 919–936
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