10 papers
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…