DECOMPOSING THE C*-ALGEBRAS OF GROUPOID EXTENSIONS

被引:10
作者
Brown, Jonathan H. [1 ]
Huef, Astrid An [1 ]
机构
[1] Univ Otago, Dept Math & Stat, Dunedin 9054, New Zealand
关键词
Groupoids; twisted groupoid C*-algebras; groupoid extensions; STAR-ALGEBRAS;
D O I
10.1090/S0002-9939-2014-11492-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We decompose the full and reduced C*-algebras of an extension of a groupoid by the circle into a direct sum of twisted groupoid C*-algebras.
引用
收藏
页码:1261 / 1274
页数:14
相关论文
共 21 条
[1]  
Anantharaman-Delaroche C., 2000, Amenable groupoids, V36
[2]  
[Anonymous], C ALGEBRAS THEIR AUT
[3]  
Brown JH, 2012, J OPERAT THEOR, V67, P437
[4]   CCR and GCR groupoid C*-algebras [J].
Clark, Lisa Orloff .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2007, 56 (05) :2087-2110
[5]   The representation theory of C*-algebras associated to groupoids [J].
Clark, Lisa Orloff ;
Huef, Astrid An .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2012, 153 :167-191
[6]   HOMOGENEOUS C-STAR-ALGEBRAS WHOSE SPECTRA ARE TORI [J].
DISNEY, S ;
RAEBURN, I .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1985, 38 (FEB) :9-39
[7]  
Fell J. M. G., 1962, P AM MATH SOC, V13, P472, DOI 10.1090/S0002-9939-1962-0139135-6
[8]  
Goehle Geoff, 2009, THESIS
[9]   TYPE OF SOME C-STAR AND W-STAR-ALGEBRAS ASSOCIATED WITH TRANSFORMATION GROUPS [J].
GOOTMAN, EC .
PACIFIC JOURNAL OF MATHEMATICS, 1973, 48 (01) :93-106
[10]   ON C-STAR-DIAGONALS [J].
KUMJIAN, A .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1986, 38 (04) :969-1008