collaborators

6 papers

math.OA2026

Groupoid models for relative Cuntz-Pimsner algebras of groupoid correspondences

Ralf Meyer

A groupoid correspondence on an etale, locally compact groupoid induces a C*-correspondence on its groupoid C*-algebra. We show that the Cuntz-Pimsner algebra for this C*-correspon…

math.OA2026

Bicategories of C*-correspondences as Dwyer-Kan localisations

Ralf Meyer

We show that the bicategory of proper correspondences is the Dwyer-Kan localisation of the category of C*-algebras at a certain class of *-homomorphisms.

math.OA2025

Graph morphisms as groupoid actors

Gilles G. de Castro, Ralf Meyer

We describe proper actors from the underlying groupoid of a graph C*-algebra to another étale groupoid in terms of bisections. This allows to understand graph morphisms and the *-…

math.OA2025

A universal coefficient theorem for actions of finite groups on C*-algebras

Ralf Meyer, George Nadareishvili

The equivariant bootstrap class in the Kasparov category of actions of a finite group G consists of those actions that are equivalent to one on a Type I C*-algebra. Using a result…

math.KT2025

The Baum-Connes conjecture for extensions

Ralf Meyer

This note provides a counterexample showing that the assumptions that Chabert and Echterhoff have imposed in their permanence property of the Baum-Connes conjecture for group exten…

math.OA2025

Type semigroups for twisted groupoids and a dichotomy for groupoid C*-algebras

Bartosz K. Kwaśniewski, Ralf Meyer, Akshara Prasad

We develop a theory of type semigroups for arbitrary twisted, not necessarily Hausdorff étale groupoids. The type semigroup is a dynamical version of the Cuntz semigroup. We relat…