Operator algebras associated with unitary commutation relations

Power, Stephen and Solel, Baruch (2011) Operator algebras associated with unitary commutation relations. Journal of Functional Analysis, 260 (6). pp. 1583-1614. ISSN 0022-1236

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Abstract

We define nonselfadjoint operator algebras with generators Le1,…,Len, Lf1,…,Lfm subject to the unitary commutation relations of the form (View the MathML source) where u=(ui,j,k,l) is an nm×nm unitary matrix. These algebras, which generalise the analytic Toeplitz algebras of rank 2 graphs with a single vertex, are classified up to isometric isomorphism in terms of the matrix u.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Functional Analysis
Uncontrolled Keywords:
/dk/atira/pure/core/keywords/mathsandstatistics
Subjects:
?? operator algebrascommutation relationsmathematics and statisticsanalysisqa mathematics ??
ID Code:
59068
Deposited By:
Deposited On:
10 Oct 2012 13:50
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 13:19