The K-theory of the flip automorphisms

TL;DR

This paper presents an algorithm to compute the K-theory of crossed products by flip automorphisms for nuclear C*-algebras satisfying the UCT, advancing the understanding of their algebraic invariants.

Contribution

It introduces a novel computational method specifically for the K-groups of crossed products involving flip automorphisms in nuclear C*-algebras.

Findings

Provides an explicit algorithm for K-theory computation

Applies to nuclear C*-algebras satisfying the UCT

Enhances tools for analyzing automorphisms in operator algebras

Abstract

We give an algorithm to compute the $K$-groups of the crossed product by the flip automorphism for a nuclear C$^*$-algebra satisfying the UCT.