98 citations · 341 across the 35 of their papers we have counts for
6 papers · 1 filter
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…
Curvature and Weitzenbock formula for the Podleś quantum sphere
Bram Mesland, Adam Rennie
We prove that there is a unique Levi-Civita connection on the one-forms of the Dabrowski-Sitarz spectral triple for the Podleś sphere . We compute the full curvature ten…
Heat operators and isometry groups of Cuntz-Krieger algebras
Dimitris Michail Gerontogiannis, Magnus Goffeng, Bram Mesland
This paper introduces heat semigroups of topological Markov chains and Cuntz-Krieger algebras by means of spectral noncommutative geometry. Using recent advances on the logarithmic…
Curvature and Weitzenbock formula for spectral triples
Bram Mesland, Adam Rennie
Using the Levi-Civita connection on the noncommutative differential one-forms of a spectral triple $(\B,\H,\D)$, we define the full Riemann curvature tensor, the Ricci curvature te…
Existence and uniqueness of the Levi-Civita connection on noncommutative differential forms
Bram Mesland, Adam Rennie
We combine Hilbert module and algebraic techniques to give necessary and sufficient conditions for the existence of an Hermitian torsion-free connection on the bimodule of differen…