Markov subshifts and partial representation of Fn

被引：0
|
作者：
Royer, D [1 ]
机构：
[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2004年 / 35卷 / 02期
关键词：
Markov subshift; partial representation;
D O I：
10.1007/s00574-004-0015-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 isometrics on a Hilbert space H. Based on these we define a map S : F-n --> I (H) which we prove to be a partial representation of F-n on H under certain conditions studied by Matsumoto.
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页码：281 / 289
页数：9
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