Automorphisms of the Toeplitz algebra with piecewise continuous symbol
type: Item
instance of: scholarly article
title: Automorphisms of the Toeplitz algebra with piecewise continuous symbol
zbMATH Open document ID: 1032.47052
DOI: 10.1007/BF02877014
author: Congquan Yan
author: Xuanhao Ding
author: Shun Hua Sun
published in: Science in China. Series A
publication date: 2002-08-15T00:00:00Z
review text: Let \(PC_{[n]}\) denote the algebra of piecewise continuous functions on the unit circle \(\mathbb{T}\) (continuous on \(\mathbb{T}\) except for finitely many fixed points \(z_1, \dots , z_n \in \mathbb{T}\)) and let \(T_f\) denote the Toeplitz operator in \(H^2(\mathbb{T})\) with symbol from \(PC_{[n]}\). The authors give a characterization for the automorphism group \(\Aut J(PC_{[n]})\) of the \(C^\ast\)-algebra \(J(PC_{[n]})\) generated by \(T_f, f\in PC_{[n]}\).
Mathematics Subject Classification ID: 47L80
Mathematics Subject Classification ID: 46L99
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 1782047
zbMATH Keywords: automorphism
zbMATH Keywords: Toeplitz algebra
zbMATH Keywords: symbol
zbMATH Keywords: Hardy space
reviewed by: N. Karapetiants
MaRDI profile type: Publication
cites work: Q5660202
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description: scientific article; zbMATH DE number 1782047