Automorphisms of some subalgebras of the Toeplitz algebra


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Abstract

We study the automorphism groups of the subalgebras Tm and T (m) of the classical Toeplitz algebra which are invariant under a finite subgroup in S1. We also give description for the automorphism group of the subalgebra of compact operators in Tm. The relationship between the automorphisms of Tm and T (m) is revealed.

About the authors

E. V. Lipacheva

Kazan State Power Engineering University

Author for correspondence.
Email: elipacheva@gmail.com
Russian Federation, Kazan

K. H. Hovsepyan

Ijevan Branch of Yerevan State University

Email: elipacheva@gmail.com
Armenia, Yerevan


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