Operator algebras associated with unitary commutation relations
| dc.creator | Power, Stephen C. | |
| dc.creator | Solel, Baruch | |
| dc.date | 2007-04-02 | |
| dc.date.accessioned | 2026-07-07T07:54:19Z | |
| dc.date.available | 2026-07-07T07:54:19Z | |
| dc.description | We define nonselfadjoint operator algebras with generators $L_{e_1},..., L_{e_n}, L_{f_1},...,L_{f_m}$ subject to the unitary commutation relations of the form \[ L_{e_i}L_{f_j} = \sum_{k,l} u_{i,j,k,l} L_{f_l}L_{e_k}\] where $u= (u_{i,j,k,l})$ is an $nm \times nm$ 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 $u$. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0704.0079 | |
| dc.identifier | http://arxiv.org/abs/0704.0079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126562 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L55, 47L30, 47L75, 46L05 | |
| dc.title | Operator algebras associated with unitary commutation relations | |
| dc.type | text |