Z^2-actions on Kirchberg algebras

Abstract

We classify a large class of Z^2-actions on the Kirchberg algebras employing the Kasparov group KK^1 as the space of classification invariants.

43 pages

References in corpus (3)

• Classification of outer actions of Z^N on O_2
• Classification of uniformly outer actions of Z^2 on UHF algebras
• Properly infinite C(X)-algebras and K_1-injectivity

Cited by in corpus (7)

• Strongly self-absorbing C*-dynamical systems
• Strongly self-absorbing C*-dynamical systems, III
• Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems
• Z^N-actions on UHF algebras of infinite type
• The classification of Rokhlin flows on C*-algebras
• Rokhlin dimension: absorption of model actions
• Quasi-free actions of finite groups on the Cuntz algebra ${\mathcal{O}}_{\infty }$