6 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
Ideal quantum metrics from fractional Laplacians
Dimitris Michail Gerontogiannis, Bram Mesland
We develop a novel framework for Monge--Kantorovič metrics using Schatten ideals and commutators of fractional Laplacians on Ahlfors regular spaces. Notably, for those metrics we d…
Curvature of differentiable Hilbert modules and Kasparov modules
Bram Mesland, Adam Rennie, Walter D. van Suijlekom
In this paper we introduce the curvature of densely defined universal connections on Hilbert -modules relative to a spectral triple (or unbounded Kasparov module), obtaining…
Index theory and topological phases of aperiodic lattices
Chris Bourne, Bram Mesland
We examine the noncommutative index theory associated to the dynamics of a Delone set and the corresponding transversal groupoid. Our main motivation comes from the application to…
Sums of regular selfadjoint operators in Hilbert-C*-modules
Matthias Lesch, Bram Mesland
We introduce a notion of weak anticommutativity for a pair (S,T) of self-adjoint regular operators in a Hilbert-C*-module E. We prove that the sum of such pairs is self-adjoi…