Coverings of skew-products and crossed products by coactions
| dc.creator | Pask, David | |
| dc.creator | Quigg, John | |
| dc.creator | Sims, Aidan | |
| dc.date | 2007-06-04 | |
| dc.date | 2008-05-14 | |
| dc.date.accessioned | 2026-07-07T09:38:27Z | |
| dc.date.available | 2026-07-07T09:38:27Z | |
| dc.description | Consider a projective limit G of finite groups G_n. Fix a compatible family δ^n of coactions of the G_n on a C*-algebra A. From this data we obtain a coaction δof G on A. We show that the coaction crossed product of A by δis isomorphic to a direct limit of the coaction crossed products of A by the δ^n. If A = C*(Λ) for some k-graph Λ, and if the coactions δ^n correspond to skew-products of Λ, then we can say more. We prove that the coaction crossed-product of C*(Λ) by δmay be realised as a full corner of the C*-algebra of a (k+1)-graph. We then explore connections with Yeend's topological higher-rank graphs and their C*-algebras. | |
| dc.description | 19 pages, laTeX. v2: Minor modifications to version 1. This version to appear in the Journal of the Australian Mathematical Society v3: some potentially confusing typos corrected in the proof of Theorem~3.1, as well as a few others. References updated | |
| dc.identifier | https://arxiv.org/abs/0706.0362 | |
| dc.identifier | http://arxiv.org/abs/0706.0362 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160813 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 (Primary); 46L55 (Secondary) | |
| dc.title | Coverings of skew-products and crossed products by coactions | |
| dc.type | text |