A more general method to classify up to equivariant \(KK\)-equivalence (Q526149)
From MaRDI portal
(Redirected from Item:Q3296062)
 | 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: A more general method to classify up to equivariant \(KK\)-equivalence |
scientific article; zbMATH DE number 7217829
- A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A more general method to classify up to equivariant \(KK\)-equivalence |
scientific article; zbMATH DE number 7217829 |
|
Statements
A more general method to classify up to equivariant \(KK\)-equivalence (English)
0 references
A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes (English)
0 references
10 May 2017
0 references
3 July 2020
0 references
Summary: Using a homological invariant together with an obstruction class in a certain Ext\(^{2}\)-group, we classify objects in triangulated categories that have projective resolutions of length two. This invariant gives strong classification results for actions of the circle group on \(C^\ast\)-algebras, \(C^\ast\)-algebras over finite unique path spaces, and graph \(C^\ast\)-algebras with finitely many ideals.
0 references
classification
0 references
non-simple \(C^\ast\)-algebras
0 references
\(K\)-theory
0 references
\(KK\)-theory
0 references
UCT
0 references
K-theory
0 references
KK-theory
0 references
C*-algebra
0 references
group action
0 references
Ext
0 references
integer group
0 references
0 references
0 references
0 references
0 references
0 references
0.9514194
0 references
0.8979213
0 references
0.8807417
0 references
0.8670517
0 references
0.8668934
0 references
0.86608666
0 references
0 references
