The spectrum of equivariant Kasparov theory for cyclic groups of prime order

TL;DR

This paper computes the Balmer spectrum of the equivariant bootstrap category for separable G-C*-algebras when G is a cyclic group of prime order, advancing understanding of equivariant Kasparov theory.

Contribution

It provides the first explicit computation of the Balmer spectrum in this setting, revealing the structure of the equivariant bootstrap category for prime order groups.

Findings

Explicit description of the Balmer spectrum for cyclic groups of prime order.

Identification of prime ideals in the equivariant bootstrap category.

Enhanced understanding of the structure of equivariant Kasparov theory.

Abstract

We compute the Balmer spectrum of the equivariant bootstrap category of separable $G$-C*-algebras when $G$ is a group of prime order.