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Markov subshifts and partial representation of F_n

Danilo Royer
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Abstract

In this paper we fix a set Λ^* of positive elements of the free group F_n (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:F_n --> L(H) which we prove to be a partial representation of F_n on H under certain conditions studied by Matsumoto.

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Danilo Royer. 2001-07-03. Markov subshifts and partial representation of F_n. https://arxiv.org/abs/math/0107020

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