9 citations · 13 across the 8 of their papers we have counts for
3 papers · 1 filter
Morphisms of Cuntz-Pimsner algebras from completely positive maps
Kevin Aguyar Brix, Alexander Mundey, Adam Rennie
We introduce positive correspondences as right C*-modules with left actions given by completely positive maps. Positive correspondences form a semi-category that contains the C*-co…
Homology and twisted C*-algebras for self-similar actions and Zappa-Szép products
Alexander Mundey, Aidan Sims
We study the categorical homology of Zappa-Szép products of small categories, which include all self-similar actions. We prove that the categorical homology coincides with the homo…
Splittings for C*-correspondences and strong shift equivalence
Kevin Aguyar Brix, Alexander Mundey, Adam Rennie
We present an extension of the notion of in-splits from symbolic dynamics to topological graphs and, more generally, to C*-correspondences. We demonstrate that in-splits provide ex…