Geodesic
The ergodic theory of free group actions: entropy and the $f$-invariant
Lewis Bowen1
1The University of Texas at Austin, USA
Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 419-432

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DOI

Previous work introduced two measure-conjugacy invariants: the f-invariant (for actions of free groups) and Σ-entropy (for actions of sofic groups). The purpose of this paper is to show that the f-invariant is essentially a special case of Σ-entropy. There are two applications: the f-invariant is invariant under group automorphisms and there is a uniform lower bound on the f-invariant of a factor in terms of the original system.
DOI : 10.4171/ggd/89
Classification : 37-XX, 00-XX
Mots-clés : Free groups, entropy, <var>f</var>-invariant

Lewis Bowen  1

1 The University of Texas at Austin, USA 
Lewis Bowen. The ergodic theory of free group actions:  entropy and the $f$-invariant. Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 419-432. doi: 10.4171/ggd/89
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     year = {2010},
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     number = {3},
     doi = {10.4171/ggd/89},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/89/}
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