K-theoretic characterization of C*-algebras with approximately inner flip

TL;DR

This paper characterizes classifiable C*-algebras with approximately inner flip using K-theory, including those with torsion and self-absorbing but not strongly self-absorbing algebras.

Contribution

It provides a precise K-theoretic criterion for identifying C*-algebras with approximately inner flip, expanding understanding of their structure.

Findings

Includes C*-algebras with torsion in K-theory

Identifies self-absorbing but not strongly self-absorbing algebras

Provides exact classification criteria

Abstract

It is determined exactly which classifiable C*-algebras have approximately inner flip. The answer includes a number of C*-algebras with torsion in their K-theory, and a number of C*-algebras that are self-absorbing but not strongly self-absorbing.