3 citations · 5 across the 37 of their papers we have counts for
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Strongly converging unitary representations for extensions by exact groups
David Gao, Srivatsav Kunnawalkam Elayavalli, Mahan Mj
We prove the existence of strongly converging unitary representations in various new settings of countable groups, in particular, arising as extensions by exact groups: semidirect…
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…
Relative biexactness and mixing in von Neumann algebras
Srivatsav Kunnawalkam Elayavalli, Zhiyuan Yang
We develop a new technique to upgrade relative biexactness in general von Neumann algebras: suppose that are mixing and biexact subalgebras of a separab…
Questions on the structure of random embeddings of
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli
Motivated by recent developments at the interface of operator algebras and random matrix theory, we propose new conjectures concerning the asymptotic structure of random matrix mod…
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…
On free components of Artin and Coxeter groups
Guillaume Dumas, Jingyin Huang, Srivatsav Kunnawalkam Elayavalli +1
The number of connected components can be remembered by the von Neumann algebra among Artin groups, the only possible exception being the case that corresponds to the free group fa…
Toeplitz exactness for strong convergence
David Gao, Srivatsav Kunnawalkam Elayavalli
We prove a new "Toeplitz exactness" theorem for strong convergence. This is a machine to upgrade strong convergence in the general setting of -correspondences, and has seve…
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…
Strongly 1-bounded inner amenable groups
Ben Hayes, Srivatsav Kunnawalkam Elayavalli
It is shown that finitely presented icc inner amenable groups yield strongly 1-bounded II_1 factors.
Conjugacy co-amenability
Mehrdad Kalantar, Srivatsav Kunnawalkam Elayavalli
In this note we study a natural analytic property of inclusions of groups akin to co-amenability: the property of existence of a non-compactly supported invariant state for the con…
Non-isomorphism of reduced free group -algebras
David Gao, Srivatsav Kunnawalkam Elayavalli
Using a new approach involving embedding spaces in II factors with plenty of freely independent Haar unitaries, we prove that $C^\ast_r(\mathbb{F}_n)\ncong C^\ast_r(\mathbb{F}_…
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…