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Some unique group-measure space decomposition results
to von Neumann algebras with unique group-measure space Cartan ... from [P2] and some transfer lemmas р la Popa and Vaes (see [PV, Lemma 3.2]). We.
1375966906

HNN extensions and unique group measure space decomposition
a unique group measure space Cartan subalgebra up to unitary conjugacy. ... Cartan subalgebras for crossed products with certain HNN extensions Γ = HNN( H ...
superrigidity-trees.pdf

Compact actions and uniqueness of the group measure space
In particular, veral large families of group measure space II 1 factors L ∞ (X) Γ have ..... J. Peterson, Some unique group-measure space decomposition results,  ...
1-s2.0-S002212361200105X-main.pdf?_tid=6ea7b6aa-d843-11e3-9a72-00000aacb35f&acdnat=1399727168_f9fd7c1fe6c1bc40130393e6d2da8f3d

Group measure space decomposition of II_1 factors and W
May 27, 2010 ... be equivalent in some “weak sense”, which ignores part of the structure, .... have unique group measure space Cartan subalgebra, up to unitary ...
0906.2765

Group measure space decomposition of II1 factors and W - Springer
Group measure space decomposition of II1 factors and W*-superrigidity ... We prove a “unique crossed product decomposition” result for group measure space II1 ... of a Kazhdan group and a non-trivial group, as well as certain amalgamated  ...
p565h11w6050p66v.pdf

HNN extensions and unique group measure space decomposition
a unique group measure space Cartan subalgebra up to unitary conjugacy. ... Cartan subalgebras for crossed products with certain HNN extensions Γ = HNN( H ...
1005.5002.pdf

Classification and rigidity for von Neumann algebras
Dec 3, 2012 ... Abstract. We survey some recent progress on the classification of von Neumann algebras ... to the group measure space von Neumann algebra L∞(X) Χ Γ. A central ..... They first showed a general unique decomposition re-.
1212.0453.pdf

Screen version - Annals of Mathematics - Princeton University
Jul 1, 2010 ... nonamenable II1 factors that are in some sense “closest to being amenable”. Thus, ... X/ is the unique Cartan subalgebra of the II1-factor L. 1. ... that does not admit a “classic” group measure space decomposition L1.X/╠А.
annals-v172-n1-p15-s.pdf

arXiv:1002.1745v1 [math.OA] 9 Feb 2010 - Department of
Feb 9, 2010 ... algebras which have unique group-measure space Cartan subalgebras. Taking profinite actions of certain products of groups we use the unique Cartan de ...... [ 30] S. Popa, S. Vaes: Group measure space decomposition of II1 ...
petersongpms.pdf

VON NEUMANN ALGEBRAS WITH UNIQUE CARTAN
Lecture 1. In the first lecture, we review some fundamental tools which arise in Popa's ... Factors of type II1 and of type III; Group measure space con- struction ... VON NEUMANN ALGEBRAS WITH UNIQUE CARTAN DECOMPOSITION. 3.
Houdayer.pdf

Curriculum Vitae - Department of Mathematics | Vanderbilt University
Jan 8, 2014 ... J. Peterson, A. Thom: Character rigidity for special linear groups, ... I. Chifan, J. Peterson: Some unique group-measure space decomposition ...
peterson - cv.pdf

ERGODIC THEORY AND DYNAMICS OF G-SPACES (with special
of a group G on a set X that leave invariant some structure on X such as, say, a topology, a ... compelling example: on the one hand, all finite measure– preserving ergodic actions of discrete ..... λ∈Φ(a,g) gλ called the restricted root space decomposition of g. ..... a unique (modulo 0) measurable realization Φ. [ Ma1, Ver].
katokSurv.pdf

Limit groups, positive-genus towers and measure equivalence
Nov 10, 2005 ... some useful results of [7] and prove that elementarily free groups are ... groups decomposition ΓL from the graph-of-spaces decomposition ΓX ...
measure.pdf

Representation Theory
a vector space over some ground field, and ask that the action of G be linear, ..... is invariant for the translation action of the group on itself (the Haar measure). ..... (ii) The canonical decomposition is unique, that is, it does not depend on the ...
RepThry.pdf

ERGODIC DECOMPOSITION OF QUASI-INVARIANT PROBABILITY
Borel space (X,S), and let µ be a probability measure on S which is .... We conclude this introduction with a corollary about a kind of unique ergodicity for .... Proof. Since R = RT for some Borel action T of a countable group G on X there exists a ...
decomposition.pdf

Ergodic decomposition for measures quasi-invariant under a - Hal
Jan 14, 2016 ... is not unique, but the measure class of the decomposing measure on the ... For the natural action of the infinite unitary group on the space of infinite ...... B has the form B1 = Bξ for some measurable partition ξ of the Lebesgue.
document

Publications - UCLA Department of Mathematics
Jun 22, 2007 ... M. Pimsner, S. Popa, The Ext-group of some C*-algebras .... S. Popa: A unique decomposition result for HT factors with torsion free core, J. Fnal. ... S. Popa, S. Vaes: Group measure space decomposition of factors and ...
publications.pdf

Representation theory of compact groups and complex reductive
Mar 30, 2011 ... space V along with a group homomorphism G → GL(V ). In the case ... cation) measure dg on G. This measure is unique once we demand that. ∫G dg = 1. .... Let V a representation and consider the isotypic decomposition. V. ∼. = ⊕ .... Fix some irreducible representation V . Let A be the linear operator on.
reptheory.pdf

Bounded Linear Operators on a Hilbert Space - UC Davis Mathematics
Space. In this chapter we describe some important classes of bounded linear operators on. Hilbert spaces ... Any projection is associated with a direct sum decomposition. Theorem .... Hilbert space H, then there is a unique vector y ∈ H such that ..... Theorem 8.37 A one-to-one, onto, measure preserving map T : Ω → Ω on a.
ch8.pdf

Unique Cartan decomposition for II1 factors arising from - De Gruyter
While in the nonamenable case examples of group measure space ... arising from profinite actions of Fn have unique Cartan decomposition. ..... Fn for some n.
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