Measure equivalence rigidity and bi|exactness of groups

Measure Equivalence Rigidity and Bi-exactness of Groups - arXiv

We get three types of results on measure equivalence rigidity; direct product groups of Ozawa's class \mathcal{S} groups, wreath product groups and amalgamated ...

Measure equivalence rigidity and bi-exactness of groups

We prove that if two wreath product groups A ≀ G , B ≀ Γ of non-amenable exact direct product groups G, Γ with amenable bases A, B are measure ...

Measure equivalence rigidity and bi-exactness of groups

Measure Equivalence Rigidity and Bi-exactness of Groups. Hiroki Sako. 1. Page 2 ... {amenable groups} cSc {exact groups},. {Word-hyp groups} CS, Z² XSL₂ZES.

Measure Equivalence Rigidity and Bi-exactness of Groups

We get three types of results on measure equivalence rigidity; direct product groups of Ozawa's class $\mathcal{S}$ groups, wreath product groups and ...

Measure equivalence rigidity and bi-exactness of groups

Semantic Scholar extracted view of "Measure equivalence rigidity and bi-exactness of groups" by Hiroki Sako.

Geometry, Rigidity, and Group Actions

The algebraic notion of being commensurable, modulo finite kernels, can be vastly generalized in two directions: measure equivalence. (measured group theory) ...

Graph products and measure equivalence: classification, rigidity ...

Using variations over the. Higman groups as the vertex groups, we construct the first example of a group which is rigid in measure equivalence, ...

Orbit Equivalence Rigidity - jstor

Consider a countable group F acting ergodically by measure preserving transformations on a probability space (X, b), and let Rr be the correspond-.

Orbit Equivalence and Measured Group Theory

Measure equivalence rigidity and bi-exactness of groups. J. Funct. Anal., 257(10):3167–3202, 2009. [Sau05]. R. Sauer. L2-Betti numbers of discrete measured ...

Measure equivalence rigidity of the mapping class group

Commensurability up to finite kernels is the equivalence relation for discrete groups defined by declaring two groups in an exact sequence 1 !

Measure equivalence rigidity of the handlebody groups

Download Citation | Measure equivalence rigidity of the handlebody groups | Let $V$ be a connected $3$-dimensional handlebody of finite ...

Free products, Orbit Equivalence and Measure Equivalence Rigidity

17 Citations · Cartan subalgebras of amalgamated free product II$_1$ factors · Measure equivalence rigidity and bi-exactness of groups · Bass-Serre ...

measure equivalence rigidity of the mapping class group

by declaring two groups in an exact sequence 1 → A → B → C → 1 of discrete groups to be equivalent if the third group is finite. Any two ...

Superrigidity, measure equivalence, and weak Pinsker entropy

We show that the class B, of discrete groups which satisfy the conclusion of Popa's cocycle superrigidity theorem for Bernoulli actions, is invariant under ...

Measure equivalence rigidity among the Higman groups - arXiv

with i varying in Z/kZ and nonzero integers |mi| 6= |ni| for each i. We prove that every countable group which is measure equivalent to H, ...

Measure equivalence rigidity via s-malleable deformations

Classifying countable groups up to measure equivalence is a central topic in measured group theory that has witnessed an explosion of activity ...

Integrable measure equivalence rigidity of hyperbolic lattices

Then the class of all finitely generated groups that are. L1-measure equivalent to Γ consists of those Λ, which admit a short exact sequence. {1} → F → Λ → ¯Λ → ...

Measure equivalence rigidity for Out(Fn) and dynamical ... - Carmin.tv

Measure equivalence is a measurable analogue of quasi-isometry. For instance, two lattices (co-compact or not) in a same Lie group are measurably equivalent by ...

Gromov's Measure Equivalence and Rigidity of Higher Rank Lattices

In this paper the notion of Measure Equivalence (ME) of countable groups is studied. ME was introduced by Gromov as a measure-theoretic ...