Representations of Higher Rank Graph Algebras
| dc.creator | Davidson, Kenneth R. | |
| dc.creator | Yang, Dilian | |
| dc.date | 2008-04-23 | |
| dc.date.accessioned | 2026-07-07T09:34:54Z | |
| dc.date.available | 2026-07-07T09:34:54Z | |
| dc.description | Let $\Fth$ be a $\Bk$-graph on a single vertex. We show that every irreducible atomic $*$-representation is the minimal $*$-dilation of a group construction representation. It follows that every atomic representation decomposes as a direct sum or integral of such representations. We characterize periodicity of $\Fth$ and identify a symmetry subgroup $H_θ$ of $\bZ^\Bk$. If this has rank $s$, then $\ca(\Fth) \cong \rC(\bT^s) \otimes \fA$ for some simple C*-algebra $\fA$. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/0804.3802 | |
| dc.identifier | http://arxiv.org/abs/0804.3802 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159663 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 47L55; 47L30; 47L75; 46L05 | |
| dc.title | Representations of Higher Rank Graph Algebras | |
| dc.type | text |