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.
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页码：557 / 576
页数：20
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