The automorphism group of the Toeplitz algebra onH2(T2)

The automorphism group of the C* -algebra generated by the Toeplitz operatos with symbols being continuous functions on the bicircle is characterized completely. The investigation is based on the analysis of the behaviour of an automorphism of the Toeplitz algebra on itsC* -ideal chains, and the sta...

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Bibliographic Details
Published in:Science China. Mathematics 2000-01, Vol.43 (3), p.225-233
Main Authors: Congquan, Yan, Sun Shunhua
Format: Article
Language:English
Subjects:
Algebra
Automorphisms
Continuity (mathematics)
Online Access:Get full text
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Summary:The automorphism group of the C* -algebra generated by the Toeplitz operatos with symbols being continuous functions on the bicircle is characterized completely. The investigation is based on the analysis of the behaviour of an automorphism of the Toeplitz algebra on itsC* -ideal chains, and the state of the closed ideals in.
ISSN:1674-7283
1869-1862
DOI:10.1007/BF02897845