The equivariant K- and KO-theory of certain classifying spaces via an equivariant Atiyah-Hirzebruch spectral sequence

TL;DR

This paper computes the equivariant K- and KO-theory of specific classifying spaces for proper actions of infinite discrete groups using a specialized equivariant Atiyah-Hirzebruch spectral sequence.

Contribution

It introduces a novel approach to calculate equivariant K- and KO-theory for classifying spaces of certain infinite groups with a tailored spectral sequence.

Findings

Explicit calculations of equivariant K- and KO-theory for selected groups

Development of a specialized spectral sequence method

New insights into the structure of classifying spaces

Abstract

Computation of the K- and KO-theory for the classifying G-spaces for proper actions of certain infinite discrete groups G via a special version of the equivariant Atiyah- Hirzebruch spectral sequence.