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Operator algebras associated with unitary commutation relations

Research output: Contribution to journalJournal article

Published

<mark>Journal publication date</mark>15/03/2011
<mark>Journal</mark>Journal of Functional Analysis
Issue6
Volume260
Number of pages31
Pages1583-1614
<mark>Original language</mark>English

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.