C*-algebras associated to coverings of k-graphs
| dc.creator | Kumjian, Alex | |
| dc.creator | Pask, David | |
| dc.creator | Sims, Aidan | |
| dc.date | 2006-12-08 | |
| dc.date | 2008-05-29 | |
| dc.date.accessioned | 2026-07-07T09:41:24Z | |
| dc.date.available | 2026-07-07T09:41:24Z | |
| dc.description | A covering of k-graphs (in the sense of Pask-Quigg-Raeburn) induces an embedding of universal C*-algebras. We show how to build a (k+1)-graph whose universal algebra encodes this embedding. More generally we show how to realise a direct limit of k-graph algebras under embeddings induced from coverings as the universal algebra of a (k+1)-graph. Our main focus is on computing the K-theory of the (k+1)-graph algebra from that of the component k-graph algebras. Examples of our construction include a realisation of the Kirchberg algebra \mathcal{P}_n whose K-theory is opposite to that of \mathcal{O}_n, and a class of AT-algebras that can naturally be regarded as higher-rank Bunce-Deddens algebras. | |
| dc.description | 44 pages, 2 figures, some diagrams drawn using picTeX. v2. A number of typos corrected, some references updated. The statements of Theorem 6.7(2) and Corollary 6.8 slightly reworded for clarity. v3. Some references updated; in particular, theorem numbering of references to Evans updated to match published version | |
| dc.identifier | https://arxiv.org/abs/math/0612204 | |
| dc.identifier | http://arxiv.org/abs/math/0612204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161818 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | C*-algebras associated to coverings of k-graphs | |
| dc.type | text |