Equivariant semi-topological K-homology and a theorem of Thomason

TL;DR

This paper extends comparison results among algebraic, semi-topological, and topological K-theories to the equivariant setting involving finite groups, enhancing understanding of their interrelations.

Contribution

It introduces equivariant semi-topological K-homology and proves a theorem of Thomason in this context, broadening the scope of K-theory comparisons.

Findings

Generalized comparison results to equivariant K-theories

Established equivariant semi-topological K-homology

Proved a Thomason-type theorem in the equivariant setting

Abstract

We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group.