On Entropy Of Action Of Amenable Groups

Authors

Mehdi Rahimi - Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.

Abstract

In this paper, we assign a linear operator to the action of an amenable group on a compact metric space. Then we extract the entropy of the action in terms of the eigenvalues of the operator. In this way we present a spectral representation of the entropy of action of amenable groups.

Keywords

: Amenable group, entropy, Følner sequence, entropy kernel operator

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