8 papers · 1 filter
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…
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…
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…