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The Rohlin property for inclusions of $C^*$-algebras with a finite Watatani index by Osaka, Hiroyuki; Kodaka, Kazunori; Teruya, Tamotsu is a scholarly article available to read on EtoBox.

What is The Rohlin property for inclusions of $C^*$-algebras with a finite Watatani index about?

We introduce notions of the Rohlin property and the approximate representability for inclusions of unital $C^*$-algebras. We investigate a dual relation between the Rohlin property and the approximate representability. We prove that a number of classes of unital $C^*$-algebras are closed under inclusions with the Rohlin property, including: AF algebras, AI algebras, AT algebras, and related classes characterized by direct limit decomposition using semiprojective building blocks. $C^*$-algebras with stable rank one. $C^*$-algebras with real rank zero.

Author

Osaka, Hiroyuki; Kodaka, Kazunori; Teruya, Tamotsu

Published

2010

Language

EN