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Entropy for expansive algebraic actions of residually finite groups

Published online by Cambridge University Press:  26 May 2010

LEWIS BOWEN
LEWIS BOWEN*
Affiliation:
Department of Mathematics, Texas A&M University, Mailstop 3368, College Station, TX 77843-3368, USA (email: lpbowen@math.tamu.edu)
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Abstract

We prove a formula for the sofic entropy of expansive principal algebraic actions of residually finite groups, extending recent work of Deninger and Schmidt.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 3 , June 2011 , pp. 703 - 718
Copyright
Copyright © Cambridge University Press 2010

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