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This article is cited in 18 scientific papers (total in 18 papers)
Automorphisms of some subalgebras of the Toeplitz algebra
E. V. Lipachevaa, K. H. Hovsepyanb a Kazan State Power Engineering University, Kazan, Russia
b Ijevan Branch of Yerevan State University, Yerevan, Armenia
Abstract:
We study the automorphism groups of the subalgebras $\mathscr T_m$ and $\mathscr T(m)$ of the classical Toeplitz algebra which are invariant under a finite subgroup in $S^1$. We also give description for the automorphism group of the subalgebra of compact operators in $\mathscr T_m$. The relationship between the automorphisms of $\mathscr T_m$ and $\mathscr T(m)$ is revealed.
Keywords:
Toeplitz algebra, subalgebra, automorphism, algebra of compact operators.
Received: 23.04.2015
Citation:
E. V. Lipacheva, K. H. Hovsepyan, “Automorphisms of some subalgebras of the Toeplitz algebra”, Sibirsk. Mat. Zh., 57:3 (2016), 666–674; Siberian Math. J., 57:3 (2016), 525–531
Linking options:
https://www.mathnet.ru/eng/smj2772 https://www.mathnet.ru/eng/smj/v57/i3/p666
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Abstract page: | 207 | Full-text PDF : | 74 | References: | 40 | First page: | 7 |
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