9 citations · 13 across the 8 of their papers we have counts for
9 papers
Intrinsic Hutchinson measures and KMS states for iterated function systems with large overlaps
Michael Mampusti, Alexander Mundey, Nicholas Seaton
We study iterated function systems with large overlaps via the Kajiwara-Watatani C*-algebra and its KMS states. Our main contributions are threefold. First, we introduce Markov par…
Twisted operator algebras of self-similar groupoid actions on arbitrary graphs
B. K. Kwaśniewski, A. Mundey
We study self-similar groupoid actions on arbitrary directed graphs together with -valued twists that exhaust the second cohomology group of the associated Zappa-Szép p…
Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies
Alexander Mundey, Aidan Sims
We establish conditions under which an inclusion of finitely aligned left-cancellative small categories induces inclusions of twisted C*-algebras. We also present an example of an…
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…
A Closed Graph Theorem for hyperbolic iterated function systems
Alexander Mundey
In this note we introduce a notion of a morphism between two hyperbolic iterated function systems. We prove that the graph of a morphism is the attractor of an iterated function sy…
A Cuntz-Pimsner Model for the -algebra of a Graph of Groups
Alexander Mundey, Adam Rennie
We provide a Cuntz-Pimsner model for graph of groups -algebras. This allows us to compute the -theory of a range of examples and show that graph of groups -algebras ca…
C*-algebras associated to graphs of groups
Nathan Brownlowe, Alexander Mundey, David Pask +2
To a large class of graphs of groups we associate a C*-algebra universal for generators and relations. We show that this C*-algebra is stably isomorphic to the crossed product indu…