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The Rohlin property for shifts on UHF algebras and automorphisms of Cuntz algebras. (English) Zbl 0902.46031
Let M n be the infinite tensor product of copies of the n×n matrices M n . The one-sided shift σ on M n is defined by σ(x)=1 n x, xM n , where 1 n is the identity of M n . The main result of the paper says that this shift has the so-called Rohlin property for any odd n. The author also proves that any automorphism α of the Cuntz algebra O n (n<) has the Rohlin property if α m is outer for any m0.

46L05General theory of C * -algebras
46L55Noncommutative dynamical systems
46L40Automorphisms of C * -algebras