Atomic Representations of Rank 2 Graph Algebras
| dc.creator | Davidson, Kenneth R. | |
| dc.creator | Power, Stephen C. | |
| dc.creator | Yang, Dilian | |
| dc.date | 2007-05-31 | |
| dc.date | 2008-11-22 | |
| dc.date.accessioned | 2026-07-07T10:19:50Z | |
| dc.date.available | 2026-07-07T10:19:50Z | |
| dc.description | We provide a detailed analysis of atomic *-representations of rank 2 graphs on a single vertex. They are completely classified up to unitary equivalence, and decomposed into a direct sum or direct integral of irreducible atomic representations. The building blocks are described as the minimal *-dilations of defect free representations modelled on finite groups of rank 2. | |
| dc.description | 42 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0705.4498 | |
| dc.identifier | http://arxiv.org/abs/0705.4498 | |
| dc.identifier | J. Funct. Anal. 255 (2008), 819--853 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174652 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L55 | |
| dc.title | Atomic Representations of Rank 2 Graph Algebras | |
| dc.type | text |