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Markov subshifts and partial representation of F_n

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arxiv math/0107020 v1 pith:BBRFPBDZ submitted 2001-07-03 math.OA math.DS

classification math.OAmath.DS
keywords partialmarkovrepresentationcertainconditionsdefineelementsfinite
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In this paper we fix a set \Lambda^* 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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