Geodesic
A measure-conjugacy invariant for free group actions
Lewis Phylip Bowen1
1 Mathematics Department<br/>University of Hawaii at Manoa<br/>2565 McCarthy Mall<br/>Honolulu, HI 96822<br/>United States<br/>and <br/>Mathematics Department<br/>Mailstop 3368<br/>Texas A&M University<br/>College Station, TX 77843-3368<br/>United States
Annals of mathematics, Tome 171 (2010) no. 2, pp. 1387-1400 Cet article a éte moissonné depuis la source Annals of Mathematics website

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This paper introduces a new measure-conjugacy invariant for actions of free groups. Using this invariant, it is shown that two Bernoulli shifts over a finitely generated free group are measurably conjugate if and only if their base measures have the same entropy. This answers a question of Ornstein and Weiss.

DOI : 10.4007/annals.2010.171.1387

Lewis Phylip Bowen 1

1 Mathematics Department<br/>University of Hawaii at Manoa<br/>2565 McCarthy Mall<br/>Honolulu, HI 96822<br/>United States<br/>and <br/>Mathematics Department<br/>Mailstop 3368<br/>Texas A&M University<br/>College Station, TX 77843-3368<br/>United States 
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     title = {A measure-conjugacy invariant for free group actions},
     journal = {Annals of mathematics},
     pages = {1387--1400},
     year = {2010},
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Lewis Phylip Bowen. A measure-conjugacy invariant for free group actions. Annals of mathematics, Tome 171 (2010) no. 2, pp. 1387-1400. doi: 10.4007/annals.2010.171.1387

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