English

A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes

K-Theory and Homology 2020-11-04 v2

Abstract

We describe Universal Coefficient Theorems for the equivariant Kasparov theory for C*-algebras with an action of the group of integers or over a unique path space, using KK-valued invariants. We compare the resulting classification up to equivariant KK-equivalence with the recent classification theorem involving a K-theoretic invariant together with an obstruction class in a certain Ext^2-group and with the classification by filtrated K-theory. This is based on a general theorem that computes these obstruction classes.

Keywords

Cite

@article{arxiv.1809.08570,
  title  = {A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes},
  author = {Ralf Meyer},
  journal= {arXiv preprint arXiv:1809.08570},
  year   = {2020}
}

Comments

38 pages; v2 differs only by minor proofreading

R2 v1 2026-06-23T04:15:16.064Z