21 papers
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…