[PDF][PDF] Deformation and rigidity for group actions and von Neumann algebras
S Popa - International Congress of Mathematicians, 2007 - math.ucla.edu
We present some recent rigidity results for von Neumann algebras (II1 factors) and
equivalence relations arising from measure preserving actions of groups on probability …
equivalence relations arising from measure preserving actions of groups on probability …
About the QWEP conjecture
N Ozawa - International Journal of Mathematics, 2004 - World Scientific
ABOUT THE QWEP CONJECTURE Page 1 June 28, 2004 12:6 WSPC/133-IJM 00241
International Journal of Mathematics Vol. 15, No. 5 (2004) 501–530 c© World Scientific …
International Journal of Mathematics Vol. 15, No. 5 (2004) 501–530 c© World Scientific …
A class of superrigid group von Neumann algebras
We prove that for any group G in a fairly large class of generalized wreath product groups,
the associated von Neumann algebra LG completely" remembers" the group G. More …
the associated von Neumann algebra LG completely" remembers" the group G. More …
[图书][B] Introduction to sofic and hyperlinear groups and Connes' embedding conjecture
V Capraro, M Lupini, V Pestov - 2015 - Springer
Analogy is one of the most effective techniques of human reasoning: When we face new
problems, we compare them with simpler and already known ones, in the attempt to use …
problems, we compare them with simpler and already known ones, in the attempt to use …
On a class of II1 factors with at most one Cartan subalgebra, II
N Ozawa, S Popa - American Journal of Mathematics, 2010 - muse.jhu.edu
This is a continuation of our previous paper studying the structure of Cartan subalgebras of
von Neumann factors of type ${\rm II} _1 $. We provide more examples of ${\rm II} _1 …
von Neumann factors of type ${\rm II} _1 $. We provide more examples of ${\rm II} _1 …
Free monotone transport
A Guionnet, D Shlyakhtenko - Inventiones mathematicae, 2014 - Springer
By solving a free analog of the Monge-Ampère equation, we prove a non-commutative
analog of Brenier's monotone transport theorem: if an n-tuple of self-adjoint non …
analog of Brenier's monotone transport theorem: if an n-tuple of self-adjoint non …
Model theory of operator algebras III: elementary equivalence and II1 factors
We use continuous model theory to obtain several results concerning isomorphisms and
embeddings between factors and their ultrapowers. Among other things, we show that for …
embeddings between factors and their ultrapowers. Among other things, we show that for …
Wreath-like products of groups and their von Neumann algebras I: W^∗-superrigidity
We introduce a new class of groups called wreath-like products. These groups are close
relatives of the classical wreath products and arise naturally in the context of group theoretic …
relatives of the classical wreath products and arise naturally in the context of group theoretic …
[PDF][PDF] Kazhdan's property (T)
In the mid 60's, D. Kazhdan defined his Property (T) for locally compact groups and used it
as a tool to demonstrate that a large class of lattices are finitely generated. Recall that a …
as a tool to demonstrate that a large class of lattices are finitely generated. Recall that a …
W-Rigidity Paradigms for Embeddings of Factors
S Popa, S Vaes - Communications in Mathematical Physics, 2022 - Springer
We undertake a systematic study of W∗-rigidity paradigms for the embeddability relation↪
between separable II 1 factors and its stable version↪ s, obtaining large families of non …
between separable II 1 factors and its stable version↪ s, obtaining large families of non …