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- Centre for Cosmology and Particle Physics PhenomenologyDK187 papers
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60 papers · 1 filter
Maximal ideals of reduced group C*-algebras and Thompson's groups
Kevin Aguyar Brix, Chris Bruce, Kang Li +1
Given a conditional expectation from a C*-algebra onto a C*-subalgebra , we observe that induction of ideals via , together with a map which we call co-induction, for…
Finiteness of metrics on state spaces
David Kyed, Ryszard Nest
We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple ex…
The Haar state on the Vaksman-Soibelman quantum spheres
Max Holst Mikkelsen, Jens Kaad
In this note we present explicit formulae for the Haar state on the Vaksman-Soibelman quantum spheres. Our formulae correct various statements appearing in the literature and our p…
Alexandrov groupoids and the nuclear dimension of twisted groupoid -algebras
Kristin Courtney, Anna Duwenig, Magdalena C. Georgescu +2
We consider a twist over an étale groupoid . When is principal, we prove that the nuclear dimension of the reduced twisted groupoid -algebra is bounded by…
Dynamic asymptotic dimension and Matui's HK conjecture
Christian Bönicke, Clément Dell'Aiera, James Gabe +1
We prove that the homology groups of a principal ample groupoid vanish in dimensions greater than the dynamic asymptotic dimension of the groupoid (as a side-effect of our methods,…
The Podles spheres converge to the sphere
Konrad Aguilar, Jens Kaad, David Kyed
We prove that the Podles spheres converge in quantum Gromov-Hausdorff distance to the classical 2-sphere as the deformation parameter tends to 1. Moreover, we construct…