English

Positivstellensatz for C*-tensor categories

Quantum Algebra 2024-10-17 v1 Category Theory Operator Algebras

Abstract

We explore semi-pre-C*-algebras in the context of rigid semisimple C*-tensor categories and using techniques from annular representations, we extend Ozawa's criterion for property (T) in groups to this context

Keywords

Cite

@article{arxiv.2410.12141,
  title  = {Positivstellensatz for C*-tensor categories},
  author = {Kajal Das and Mainak Ghosh and Shamindra Ghosh},
  journal= {arXiv preprint arXiv:2410.12141},
  year   = {2024}
}

Comments

10 pages, many tikZ figures, comments are welcome

R2 v1 2026-06-28T19:23:29.538Z