Positivstellensatz for C*-tensor categories

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.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2026-08-26
DOI
https://doi.org/10.1090/proc/17494
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Positivstellensatz for C*-tensor categories

Shamindra Kumar Ghosh, Kajal Das, Mainak Ghosh
Proceedings of the American Mathematical Society
Homotopy and Cohomology in Algebraic Topology
article

Positivstellensatz for C*-tensor categories

Shamindra Kumar Ghosh, Kajal Das, Mainak Ghosh
article en

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.

Proceedings of the American Mathematical Society
Natural Science Foundation of Beijing Municipality, National Board for Higher Mathematics
Openalex Percentile: Top 94%
Homotopy and Cohomology in Algebraic Topology
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