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The Rohlin Property for Shifts on UHF Algebras and Automorphisms of Cuntz Algebras

✍ Scribed by Akitaka Kishimoto

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
791 KB
Volume
140
Category
Article
ISSN
0022-1236

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✦ Synopsis

We show that the shift on the UHF algebra M n has the Rohlin property for any odd n (hence, by Brotteli et al. (The crossed product of a UHF algebra by a shift, Ergodic Theory Dynam. Systems 13 (1993), 615 626), for any n=2, 3, ...), and that any automorphism : of the Cuntz algebra O n (n< ) has the Rohlin property if : m is outer for any m{0.

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