منابع مشابه
Crossed Products and Entropy of Automorphisms
Let A be an exact C–algebra, let G be a locally compact group, and let (A, G, α) be a C–dynamical system. Each automorphism αg induces a spatial automorphism Adλg on the reduced crossed product A×α G. In this paper we examine the question, first raised by E. Størmer, of when the topological entropies of αg and Adλg coincide. This had been answered by N. Brown for the particular case of discrete...
متن کاملExtension of automorphisms to C*-crossed products with non-trivial centre
Given a quasi-special endomorphism ρ of a C∗ -algebra A with nontrivial center, we study an extension problem for automorphisms of A to a minimal cross-product B of A by ρ . Exploiting some aspects of the underlying generalized Doplicher-Roberts duality theory based on Pimsner algebras, an obstruction to the existence of such extensions is found and described in terms of sections of a suitable ...
متن کاملCrossed Product Duality for Partial C-automorphisms
For partial automorphisms of C∗-algebras, Takai-Takesaki crossed product duality tends to fail, in proportion to the extent to which the partial automorphism is not an automorphism.
متن کاملStable and Real Rank for Crossed Products by Automorphisms with the Tracial Rokhlin Property
We introduce the tracial Rokhlin property for automorphisms of stably finite simple unital C*-algebras containing enough projections. This property is formally weaker than the various Rokhlin properties considered by Herman and Ocneanu, Kishimoto, and Izumi. Our main results are as follows. Let A be a stably finite simple unital C*-algebra, and let α be an automorphism of A which has the tracia...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1969
ISSN: 0040-8735
DOI: 10.2748/tmj/1178242903