Relative homological algebra for bivariant K-theory
Operator Algebras
2023-03-03 v1 Category Theory
Abstract
This survey article on relative homological algebra in bivariant K-thoery is mainly intended for readers with a background knowledge in triangulated categories. We briefly recall the general theory of relative homological algebra in triangulated categories and latter specialize it to the non-equivariant and the equivariant bivariant K-thoery, where the actions on C*-algebras is by a finite cyclic group. We conclude by the explicit computation of the universal abelian invariant for separable C*-algebras with the action of by automorphisms.
Keywords
Cite
@article{arxiv.2303.01281,
title = {Relative homological algebra for bivariant K-theory},
author = {George Nadareishvili},
journal= {arXiv preprint arXiv:2303.01281},
year = {2023}
}