Skew-products of higher-rank graphs and crossed products by semigroups

被引：2

作者：

Maloney, Ben ^{[1
]}

Pask, David ^{[1
]}

Raeburn, Iain ^{[2
]}

机构：

[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

[2] Univ Otago, Dept Math & Stat, Dunedin 9054, New Zealand

来源：

SEMIGROUP FORUM | 2014年 / 88卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Ore semigroup; C*-algebra; Crossed product; Dilation; C-ASTERISK-ALGEBRAS; DIRECTED-GRAPHS;

D O I：

10.1007/s00233-013-9525-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a free action of an Ore semigroup on a higher-rank graph, and the induced action by endomorphisms of the C (au)-algebra of the graph. We show that the crossed product by this action is stably isomorphic to the C (au)-algebra of a quotient graph. Our main tool is Laca's dilation theory for endomorphic actions of Ore semigroups on C (au)-algebras, which embeds such an action in an automorphic action of the enveloping group on a larger C (au)-algebra.

引用

页码：162 / 176

页数：15

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