Markov subshifts and partial representation of Fn
Abstract
In this paper we fix a set * of positive elements of the free group Fn (e.g. the set of finite words occurring in a Markov subshift) as well as n partial isometries on a Hilbert space H. Based on these we define a map S:Fn --> L(H) which we prove to be a partial representation of Fn on H under certain conditions studied by Matsumoto.
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