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math.OA2024
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…
math.OA2024
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…
math.OA2023★ 2 cited
The intersection of complemented submodules is not complemented
Koen van den Dungen, Bram Mesland, Adam Rennie
We show by (counter)example that the intersection of complemented submodules in a Hilbert -module is not necessarily complemented, answering an open question from [MR].