This paper is devoted to the groups of nite automata and their applications in algebra,
dynamical systems, and geometry. The groups of synchronous automata as well as the …

INVARIANTS l2 DE RELATIONS D’ÉQUIVALENCE ET DE GROUPES Page 1 INVARIANTS l2
DE RELATIONS D’ÉQUIVALENCE ET DE GROUPES par DAMIEN GABORIAU 0. Introduction …

We establish new results and introduce new methods in the theory of measurable orbit
equivalence, using bounded cohomology of group representations. Our rigidity statements …

Every closed surface admits a geometry of constant curvature, and may be classified
topologically either by its fundamental group or by its Euler characteristic and orientation …

We give a brief survey of some classification results on orbit equivalence of probability
measure preserving actions of countable groups. The notion of ℓ 2 Betti numbers for groups …

I. Introduction. Throughout the last two or three decades, the theory of rigidity, particularly in
relation to semisimple groups and their discrete subgroups, has become an extremely active …

arxiv:1009.0132v1 [math.GR] 1 Sep 2010 Page 1 arxiv:1009.0132v1 [math.GR] 1 Sep 2010
Orbit Equivalence and Measured Group Theory Damien Gaboriau∗ May, 2010 Abstract We …

We introduce a new equivalence relation on groups, which we call von Neumann
equivalence, that is coarser than both measure equivalence and $ W^* $-equivalence. We …

Автоматы играют определяющую роль в той области науки, которую сейчас принято
называть информатикой (а на Западе—“computer science”). Важнейшими функциями …

In [25] a theory of continuous bounded cohomology for locally compact groups was
developed which proved itself to be rather useful and flexible at the same time. Bounded …