A more general method to classify up to equivariant KK-equivalence
Operator Algebras
2017-04-20 v2 K-Theory and Homology
Abstract
Using a homological invariant together with an obstruction class in a certain Ext^2-group, we may 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*-algebras, C*-algebras over finite unique path spaces, and graph C*-algebras with finitely many ideals.
Cite
@article{arxiv.1405.6512,
title = {A more general method to classify up to equivariant KK-equivalence},
author = {Rasmus Bentmann and Ralf Meyer},
journal= {arXiv preprint arXiv:1405.6512},
year = {2017}
}
Comments
24 pages; added some clarification to the proof of Theorem 2.6, added Remark 3.5, removed incorrect Example 5.21, updated references, acknowledgement and email-address