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

共 50 条

[1] Continuous-trace groupoid crossed products
Fulman, I
Muhly, PS
Williams, DP
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (03) : 707 - 717
[2] Continuous-trace groupoid C*-algebras .3.
Muhly, PS
Renault, JN
Williams, DP
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (09) : 3621 - 3641
[3] CROSSED-PRODUCTS OF CONTINUOUS-TRACE C-STAR-ALGEBRAS BY SMOOTH ACTIONS
RAEBURN, I
ROSENBERG, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 305 (01) : 1 - 45
[4] STRUCTURE OF CROSSED PRODUCTS BY STRICTLY PROPER ACTIONS ON CONTINUOUS-TRACE ALGEBRAS
Echterhoff, Siegfried
Williams, Dana P.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (07) : 3649 - 3673
[5] Endomorphisms of stable continuous-trace C*-algebras
Hirshberg, I
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (02) : 481 - 486
[6] CONTINUOUS-TRACE k-GRAPH C*-ALGEBRAS
Crytser, Danny
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (05) : 1511 - 1535
[7] A TRANSFER THEOREM OF THE CONTINUOUS TRACE AND TYPE I CROSSED PRODUCT OF A GROUPOID BY A BUNDLE OF C*-ALGEBRAS
Tudor, Daniel
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2014, 76 (04): : 157 - 166
[8] CONTINUOUS TRACE GROUPOID C-STAR-ALGEBRAS
MUHLY, PS
WILLIAMS, DP
[J]. MATHEMATICA SCANDINAVICA, 1990, 66 (02) : 231 - 241
[9] A transfer theorem of the continuous trace and type i crossed product of a groupoid by a bundle of C-Algebras
Tudor, Daniel
[J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2014, 76 (04): : 157 - 166
[10] THE INVARIANT CONTINUOUS-TRACE C*-ALGEBRAS BY THE ACTIONS OF COMPACT ABELIAN GROUPS
FANG XIAOCHUN
(Department of Applied Mathematics
[J]. Chinese Annals of Mathematics,Series B, 1998, (04) : 489 - 498

← 1 2 3 4 5 →