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.

引用

页码：407 / 431

页数：25

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