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

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.

22 pages. New proof of Proposition 4.1; a number of smaller changes (mostly fixed typos)

References in corpus (2)

• On the classification of simple amenable $C\ast$-algebras with finite decomposition rank, II
• Decomposition rank of approximately subhomogeneous C*-algebras