The ergodic theory of free group actions: entropy and the f-invariant
Bowen, Lewis
arXiv, 0902.0174 / Harvested from arXiv
Text on arXiv
Previous work introduced two measure-conjugacy invariants: the $f$-invariant (for actions of free groups) and $\Sigma$-entropy (for actions of sofic groups). The purpose of this paper is to show that the $f$-invariant is a special case of $\Sigma$-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.
Publié le : 2009-02-01
Classification:  Mathematics - Dynamical Systems,  37A35 
@article{0902.0174,
     author = {Bowen, Lewis},
     title = {The ergodic theory of free group actions: entropy and the f-invariant},
     journal = {arXiv},
     volume = {2009},
     number = {0},
     year = {2009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0902.0174}
}

Bowen, Lewis. The ergodic theory of free group actions: entropy and the f-invariant. arXiv, Tome 2009 (2009) no. 0, . http://gdmltest.u-ga.fr/item/0902.0174/