3 citations · 3 across the 16 of their papers we have counts for
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Lifting for N-independent sets in II1 factors
Gregory Patchell, Austin Shiner
In a tracial von Neumann algebra M, two subsets X and Y are said to be N-independent if alternating products of length at most N of trace zero words from X and Y have trace zero. W…
Selfless C*-correspondences, operator valued C*-probability spaces and completely positive maps
David Gao, Marius Junge, Srivatsav Kunnawalkam Elayavalli +2
We develop a general theory of selflessness for C*-correspondences, with several applications. Specializing this theory to completely positive maps, in particular to conditional ex…
Selfless reduced amalgamated free products and HNN extensions
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We find a general family of selfless inclusions in reduced amalgamated free products of C*-algebras. Apart from generalizing prior works due to McClanahan, Ivanov and Omland, our w…
Exotic full factors via weakly coarse bimodules
David Gao, David Jekel, Srivatsav Kunnawalkam Elayavalli +1
We are able to explicitly compute the bimodule structure of von Neumann algebra inclusions in handle constructions, which arise as inductive limits of iterated amalgamated free pro…
Selfless Inclusions of C*-Algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the s…
3-handle construction on II factors
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell
We find a subtle modification to the construction of Chifan-Ioana-Kunnawalkam Elayavalli, which yields a drastic simplification of the proof of the existence of two non Gamma non e…
Strict comparison in reduced group -algebras
Tattwamasi Amrutam, David Gao, Srivatsav Kunnawalkam Elayavalli +1
We prove that for every , the reduced group -algebras of the countable free groups have strict comparison. Our method works in a general setting…
Simplices of maximally amenable extensions in II factors
Srivatsav Kunnawalkam Elayavalli, Gregory Patchell
For every we obtain a separable II factor and a maximally abelian subalgebra such that the space of maximally amenable extensions of in $…
Internal sequential commutation and single generation
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We extract a precise internal description of the sequential commutation equivalence relation introduced in [KEP23] for tracial von Neumann algebras. As an application we prove that…
Sequential commutation in tracial von Neumann algebras
Srivatsav Kunnawalkam Elayavalli, Gregory Patchell
Recall that a unitary in a tracial von Neumann algebra is Haar if for all . We introduce and study a new Borel equivalence relation on the set…
Primeness of Generalized Wreath Product II Factors
Gregory Patchell
In this article we investigate the primeness of generalized wreath product II factors using deformation/rigidity theory techniques. We give general conditions relating tensor d…