GROUPOID CROSSED PRODUCTS OF CONTINUOUS-TRACE C*-ALGEBRAS

被引：10

作者：

van Erp, Erik ^{[1
]}

Williams, Dana P. ^{[1
]}

机构：

[1] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA

来源：

JOURNAL OF OPERATOR THEORY | 2014年 / 72卷 / 02期

关键词：

Groupoid C*-algebras; continuous-trace C*-algebras; crossed products; DIXMIER-DOUADY CLASS; EQUIVALENCE;

D O I：

10.7900/jot.2013sep04.2004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if (A, G, alpha) is a groupoid dynamical system with A continuous trace, then the crossed product A (sic) alpha G is Morita equivalent to the C*-algebra C* (G, E) of a twist E over a groupoid G equivalent to G. This is a groupoid analogue of the well known result for the crossed product of a group acting on an elementary C*-algebra.

引用

页码：557 / 576

页数：20

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