We show how the fine structure in shift–tail equivalence, appearing in the non-commutative
geometry of Cuntz–Krieger algebras developed by the first two listed authors, has an …

We study irreducible Smale spaces with totally disconnected stable sets and their
associated-theoretic invariants of Cuntz–Pimsner algebras are then studied using the Cuntz …

We present a new approach to Poincaré duality for Cuntz–Pimsner algebras. We provide
sufficient conditions under which Poincaré self-duality for the coefficient algebra of a Hilbert …

Building on work of Williams, Wieler proved that every irreducible Smale space with totally
disconnected stable sets can be realized via a stationary inverse limit. Using this result, the …

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 …

We address the problem of finding groupoid models for C*-algebras given some prescribed
K-theory data. This is a reasonable question because a groupoid model for a C*-algebra …

Given a finitely aligned $ k $-graph $\Lambda $, we let $\Lambda^ i $ denote the $(k-1) $-
graph formed by removing all edges of degree $ e_i $ from $\Lambda $. We show that the …

Mathematisches Forschungsinstitut Oberwolfach Mini-Workshop: Operator Spaces and
Noncommutative Geometry in Interaction Page 1 Mathematisches Forschungsinstitut …