KMS states of a generalized Toeplitz algebras

2020/06/05 by Ahn, Jieun, Jang, Sunyoung
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2006.03197

Abstract

In this paper, we consider a generalized Toeplitz algebra T ( P\rtimes\Bbb N^×) for a non-quasi-lattice ordered semigroup P\rtimes\Bbb N^× where P\rtimes\Bbb N^× is a semidirect product of an additive semigroup P = \0, 2, 3, ⋯ \ by a multiplicative positive natural numbers semigroup \Bbb N^×. And also we compute the values of the KMS state of the natural C^*-dynamical system ( T ( P\rtimes\Bbb N^×), \Bbb R, σ).

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