Theta correspondence as a C*-correspondence

Mehmet Haluk Sengun

Theta correspondence as a C*-correspondence

Representation Theory 2026-07-06 v1 Number Theory Operator Algebras

Authors: Mehmet Haluk Sengun

Abstract

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 in the theta correspondence is compact.

Cite

@article{arxiv.2607.04933,
  title  = {Theta correspondence as a C*-correspondence},
  author = {Mehmet Haluk Sengun},
  journal= {arXiv preprint arXiv:2607.04933},
  year   = {2026}
}

Comments

To appear in the proceedings of the IHP trimester "Representation Theory and Noncommutative Geometry"