3 citations · 3 across the 16 of their papers we have counts for
16 papers
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…
A new source of purely finite matricial fields
David Gao, Srivatsav Kunnawalkam Elayavalli, Aareyan Manzoor +1
A countable group is said to be \emph{matricial field} (MF) if it admits a strongly converging sequence of approximate homomorphisms into matrices; i.e, the norms of polynomial…
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…
Some remarks on decay in countable groups and amalgamated free products
Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, Lizzy Teryoshin
In this note, we first study the notion of subexponential decay (SD) for countable groups with respect to a length function, which generalizes the well-known rapid decay (RD) prope…
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 $…
Sofic actions on graphs
David Gao, Greg Patchell, Srivatsav Kunnawalkam Elayavalli
We develop a theory of soficity for actions on graphs and obtain new applications to the study of sofic groups. We establish various examples, stability and permanence properties o…
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…
Soficity for group actions on sets and applications
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell
In this article we develop a notion of soficity for actions of countable groups on sets. We show two equivalent perspectives, several natural properties and examples. Notable examp…
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…
The Maximum Number of Appearances of a Word in a Grid
Gregory Patchell, Sam Spiro
How can you fill a grid with the letters A and M so that the word ``AMM'' appears as many times as possible in the grid? More generally, given a word of length ,…