|
|||||
|
|
Skew-products of higher-rank graphs and crossed products by semigroups |
|
| Authors: | Ben Maloney David Pask Iain Raeburn |
| Affiliation: | 1. School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW, 2522, Australia 2. Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin, 9054, New Zealand |
| Abstract: | We consider a free action of an Ore semigroup on a higher-rank graph, and the induced action by endomorphisms of the C ?-algebra of the graph. We show that the crossed product by this action is stably isomorphic to the C ?-algebra of a quotient graph. Our main tool is Laca’s dilation theory for endomorphic actions of Ore semigroups on C ?-algebras, which embeds such an action in an automorphic action of the enveloping group on a larger C ?-algebra. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |