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

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.

38 pages; v2 differs only by minor proofreading

Cited by in corpus (1)

• On the classification of group actions on C*-algebras up to equivariant KK-equivalence