Crossed products and entropy of automorphisms

@inproceedings{Pop2002CrossedPA,
  title={Crossed products and entropy of automorphisms},
  author={Ciprian Pop and Roger Ridsdill Smith},
  year={2002}
}
Abstract 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 α g induces a spatial automorphism Ad λ g on the reduced crossed product A × α G . In this paper we examine the question, first raised by E. Stormer, of when the topological entropies of α g and Ad λ g coincide. This had been answered by N. Brown for the particular case of discrete abelian groups. Using different methods, we extend his result to preservation… CONTINUE READING

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