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Groups, Geometry, and Dynamics

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Volume 7, Issue 3, 2013, pp. 617–632
DOI: 10.4171/GGD/200

Published online: 2013-08-27

Sofic measure entropy via finite partitions

David Kerr[1]

(1) Texas A&M University, College Station, USA

We give a generator-free formulation of sofic measure entropy using finite partitions and establish a Kolmogorov–Sinai theorem. We also show how to compute the values for general Bernoulli actions in a concise way using the arguments of Bowen in the finite base case.

Keywords: Entropy, sofic group

Kerr David: Sofic measure entropy via finite partitions. Groups Geom. Dyn. 7 (2013), 617-632. doi: 10.4171/GGD/200