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Operator algebras associated with unitary commutation relations

Research output: Contribution to journalJournal article


Journal publication date15/03/2011
JournalJournal of Functional Analysis
Journal number6
Number of pages31
Original languageEnglish


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.