Operator algebras associated with unitary commutation relations
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Published
| <mark>Journal publication date</mark> | 15/03/2011 |
|---|---|
| <mark>Journal</mark> | Journal of Functional Analysis |
| Issue number | 6 |
| Volume | 260 |
| Number of pages | 31 |
| Pages (from-to) | 1583-1614 |
| Publication Status | Published |
| <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.