#### Filter Results:

- Full text PDF available (9)

#### Publication Year

1996

2013

- This year (0)
- Last 5 years (1)
- Last 10 years (3)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

We establish new results and introduce new methods in the theory of measurable orbit equivalence, using bounded cohomology of group representations. Our rigidity statements hold for a wide (uncountable) class of groups arising from negative curvature geometry. Amongst our applications are (a) measurable Mostow-type rigidity theorems for products of… (More)

- Yehuda Shalom
- 2006

We present the surge of activity since 2005, around what we call the algebraic (as contrasted with the geometric) approach to Kazhdan’s property (T). The discussion includes also an announcement of a recent result (March 2006) regarding property (T) for linear groups over arbitrary finitely generated rings.

- YEHUDA SHALOM
- 1999

Let k be any locally compact non-discrete field. We show that finite invariant measures for k-algebraic actions are obtained only via actions of compact groups. This extends both Borel’s density and fixed point theorems over local fields (for semisimple/solvable groups, resp.). We then prove that for k-algebraic actions, finitely additive finite invariant… (More)

For every hyperbolic group and more general hyperbolic graphs, we construct an equivariant ideal bicombing: this is a homological analogue of the geodesic flow on negatively curved manifolds. We then construct a cohomological invariant which implies that several Measure Equivalence and Orbit Equivalence rigidity results established in [MSb] hold for all… (More)

- Yehuda Shalom
- Combinatorica
- 1997

6. Principal bundles, induction, and cohomology I. Principal bundles and induction of unitary representations II. A " transference " theorem III. The bundle-induction operation on the first cohomology 1. Introduction and discussion of the main results I. Introduction. Throughout the last two or three decades, the theory of rigidity, particularly in relation… (More)

- ALEX FURMAN, YEHUDA SHALOM
- 1998

Let μ be a probability measure on a locally compact group G, and suppose G acts measurably on a probability measure space (X,m), preserving the measure m. We study ergodic theoretic properties of the action along μ-i.i.d. random walks on G. It is shown that under a (necessary) spectral assumption on the μ-averaging operator on L2(X,m), almost surely the… (More)

The Margulis-Zimmer conjecture. The subject of this paper is a well known question advertised by Gregory Margulis and Robert Zimmer since the late 1970’s, which seeks refinement of the celebrated Normal Subgroup Theorem of Margulis (hereafter abbreviated NST). Although Margulis’ NST is stated and proved in the context of (higher rank) irreducible lattices… (More)

Let G be a group generated by a finite subset S; define S to be the set Ž . < n < of all products of at most n elements of S, and let a S s S be the n n Ž . Ž . Ž . Ž . number of elements in S . As a S satisfies 1 F a S F a S ? a S , n nqm n m Ž .1r n Ž . Ž .1r n the limit lim a S exists, and a S s lim a S G 1. Although the n n Ž . exact value of a S… (More)

- ‹
- 1
- ›