3 papers
math.RT2026
Theta correspondence as a C*-correspondence
Mehmet Haluk Sengun
This is a survey of the recent works that describe theta correspondence as a C*-correspondence. The main mechanism is elucidated in the special case when one of the groups involved…
math.OA2026
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…
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…