EQUIVARIANT DIXMIER-DOUADY CLASSES

被引：0

作者：

Stienon, Mathieu ^{[1
]}

机构：

[1] ETH, Dept Math, CH-8092 Zurich, Switzerland

来源：

MATHEMATICAL RESEARCH LETTERS | 2010年 / 17卷 / 01期

关键词：

TWISTED K-THEORY; BUNDLE GERBES; COHOMOLOGY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An equivariant bundle gerbe a la Meinrenken over a G-manifold M is known to be a special type of S-1-gerbe over the differentiable stack [M/G]. We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundle gerbe a la Meinrenken to the Behrend-Xu-Dixmier-Douady class of the corresponding S-1-gerbe.

引用

页码：127 / 145

页数：19

共 50 条

[1] A semi-equivariant Dixmier-Douady invariant
Kitson, Simon
NEW YORK JOURNAL OF MATHEMATICS, 2023, 29 : 147 - 170
[2] The Dixmier-Douady classes and abelian extensions of groups of homeomorphisms
Maruyama, Shuhei
TOPOLOGY AND ITS APPLICATIONS, 2023, 336
[3] GROUPOID COHOMOLOGY AND THE DIXMIER-DOUADY CLASS
MUHLY, PS
WILLIAMS, DP
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1995, 71 : 109 - 134
[4] Dirac Structures and Dixmier-Douady Bundles
Alekseev, A.
Meinrenken, E.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (04) : 904 - 956
[5] Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras
Evans, David E.
Pennig, Ulrich
ADVANCES IN MATHEMATICS, 2022, 410
[6] THE DIXMIER-DOUADY CLASSES OF CERTAIN GROUPOID C*-ALGEBRAS WITH CONTINUOUS TRACE
Ionescu, Marius
Kumjian, Alex
Sims, Aidan
Williams, Dana P.
JOURNAL OF OPERATOR THEORY, 2019, 81 (02) : 407 - 431
[7] Differential cocycles and Dixmier-Douady bundles
Krepski, Derek
Watts, Jordan
JOURNAL OF GEOMETRY AND PHYSICS, 2018, 130 : 168 - 183
[8] DIXMIER-DOUADY CLASSES OF DYNAMICAL-SYSTEMS AND CROSSED-PRODUCTS
RAEBURN, I
WILLIAMS, DP
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1993, 45 (05): : 1032 - 1066
[9] Dixmier-Douady sheaves of groupoids and Brownian loops
Léandre, R
GLOBAL ANALYSIS AND APPLIED MATHEMATICS, 2004, 729 : 200 - 206
[10] A Dixmier-Douady theorem for Fell algebras
Huef, Astrid An
Kumjian, Alex
Sims, Aidan
JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (05) : 1543 - 1581

← 1 2 3 4 5 →