98 citations · 341 across the 35 of their papers we have counts for
38 papers
Bordisms and unbounded -theory
Robin J. Deeley, Magnus Goffeng, Bram Mesland
This monograph studies -theory in its unbounded model. The central object is the -bordism group obtained by imposing the -bordism relation on unbounded -cycles. In…
The odd spectral localiser via asymptotic morphisms and quasi-projections
Yuezhao Li, Bram Mesland
We describe the index pairing between an odd K-theory class and an odd unbounded Kasparov module by a pair of quasi-projections, supported on a submodule obtained from a finite spe…
Comparison of Levi-Civita connections in noncommutative geometry
Alexander Flamant, Bram Mesland, Adam Rennie
We compare the constructions of Levi-Civita connections for noncommutative algebras developed in arXiv:1505.07330, arXiv:1809.06721, arXiv:2403.13735. The assumptions in these vari…
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…
Theta correspondence via group C*-algebras
Magnus Goffeng, Bram Mesland, Mehmet Haluk Sengun
We prove that the well-known explicit construction of the local theta correspondence by Li has a simple interpretation in terms of group C*-algebras. In particular, we deduce that…
Adelic C*-correspondences and parabolic induction
Magnus Goffeng, Bram Mesland, Mehmet Haluk Sengun
In analogy with the construction of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C*-mo…