Article

Communications in Mathematical Physics

, Volume 112, Issue 4, pp 691-719

First online:

Dynamical entropy ofC* algebras and von Neumann algebras

  • A. ConnesAffiliated withIHES
  • , H. NarnhoferAffiliated withInstitut für Theoretische Physik, Universität Wien
  • , W. ThirringAffiliated withInstitut für Theoretische Physik, Universität Wien

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Abstract

The definition of the dynamical entropy is extended for automorphism groups ofC* algebras. As an example, the dynamical entropy of the shift of a lattice algebra is studied, and it is shown that in some cases it coincides with the entropy density.