100 citations · 477 across the 38 of their papers we have counts for
41 papers
On the singular abelian rank of ultraproduct II factors
Patrick Hiatt, Sorin Popa
We prove that, under the continuum hypothesis , any ultraproduct II factor of separable finite factors contains more than man…
Some classes of smooth bimodules over II factors and their associated 1-cohomology spaces
Patrick Hiatt, Jesse Peterson, Sorin Popa
We study several classes of Banach bimodules over a II factor , endowed with topologies that make them "smooth" with respect to -norms implemented by the trace on .…
On the paving size of a subfactor
Sorin Popa
Given an inclusion of II factors with finite Jones index, , we prove that for any finite and , there exists a partition…
W*-representations of subfactors and restrictions on the Jones index
Sorin Popa
A {\it W-representation} of a II subfactor with finite Jones index, , is a non-degenerate commuting square embedding of into an incl…
W*-rigidity paradigms for embeddings of II factors
Sorin Popa, Stefaan Vaes
We undertake a systematic study of W*-rigidity paradigms for the embeddability relation between separable II factors and its stable version $\hookrightarrow_s…
On ergodic embeddings of factors
Sorin Popa
An inclusion of von Neumann factors $M \subset \Cal M$ is {\it ergodic} if it satisfies the irreducibility condition $M'\cap \Cal M=\Bbb C$. We investigate the relation between thi…