Geometric Baum-Connes assembly map for twisted differentiable stacks (Q2811180)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Geometric Baum-Connes assembly map for twisted Differentiable Stacks |
scientific article; zbMATH DE number 6591558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric Baum-Connes assembly map for twisted differentiable stacks |
scientific article; zbMATH DE number 6591558 |
Statements
10 June 2016
0 references
twisted K-theory
0 references
index theory
0 references
Lie groupoids and differentiable stacks
0 references
geometric Baum-Connes assembly map
0 references
twisted Lie groupoids
0 references
geometric deformation groupoids
0 references
Morita invariance
0 references
assembly map
0 references
0 references
0.8975575
0 references
0.88338375
0 references
0.8830027
0 references
0.87907517
0 references
0.8789422
0 references
0.8785759
0 references
0.87734383
0 references
0.8747857
0 references
Geometric Baum-Connes assembly map for twisted differentiable stacks (English)
0 references
The authors construct the geometric Baum-Connes assembly map for twisted Lie groupoids. For this construction, they use geometric deformation groupoids to give, in particular, a geometric construction of the associated pushforward maps and to establish the functoriality. The main results in this paper are the definition of the geometric twisted K-homology groups and the construction of the assembly map.NEWLINENEWLINEThe authors also prove the Morita invariance of the assembly map, obtaining in this way a precise meaning to the twisted geometric assembly map for differentiable stacks. This point is essential since, in practice, one usually changes the groupoid model by the Morita equivalent one.
0 references
