THE DIXMIER-DOUADY CLASSES OF CERTAIN GROUPOID C*-ALGEBRAS WITH CONTINUOUS TRACE

被引：2
|
作者：
Ionescu, Marius [1 ]
Kumjian, Alex [2 ]
Sims, Aidan [3 ]
Williams, Dana P. [4 ]
机构：
[1] US Naval Acad, Dept Math, Annapolis, MD 21402 USA
[2] Univ Nevada, Dept Math, Reno, NV 89557 USA
[3] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
[4] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
来源：
JOURNAL OF OPERATOR THEORY | 2019年 / 81卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
Dixmier-Douady class; groupoid C*-algebras; continuous-trace C*-algebras; STAR-ALGEBRAS; TRANSFORMATION; COHOMOLOGY; EQUIVALENCE;
D O I：
10.7900/jot.2018mar07.2209
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a locally compact abelian group G, we give an explicit formula for the Dixmier-Douady invariant of the C* -algebra of the groupoid extension associated to a Cech 2-cocycle in the sheaf of germs of continuous G-valued functions. We then exploit the blow-up construction for groupoids to extend this to some more general central extensions of etale equivalence relations.
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页码：407 / 431
页数：25
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