ENTROPY FOR AUTOMORPHISMS OF THE CROSSED PRODUCTS (Quantum Analysis in Operator Algebras)
Marie Choda · Kyoto University Research Information Repository (Kyoto University) · 2004
Let $G\subset \mathrm{A}\mathrm{u}\mathrm{t}(A)$ be a discrete group which is exact, that is, admits an amenable action on some compact space.Then the entropy of an automorphism of the algebra $A$ does not change by the canonical extension to the crossed product A $\mathrm{x}$ $G$ .This $\mathrm{i}_{8}$ shown for the topological entropy of an exact C'-algebra $A$ and for the dynamical entropy of an AFD von Neumann algebra $A$ .These have applications to the case of transformations on $\mathrm{L}\mathrm{e}\mathrm{b}\mathrm{e}8\mathrm{g}\mathrm{u}\mathrm{e}$ spaces.