4 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…
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…
Elementary equivalence and disintegration of tracial von Neumann algebras
David Gao, David Jekel
We prove an analog of the disintegration theorem for tracial von Neumann algebras in the setting of elementary equivalence rather than isomorphism, showing that elementary equivale…