OICC Press Communications in Nonlinear Analysis 2371-7920 1 1 2025 11 09 On entropy of action of amenable groups EN Mehdi Rahimi Journal Article 2025 11 09 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.