Positivstellensatz for C*-tensor categories
Kajal Das, Mainak Ghosh, Shamindra Ghosh
TL;DR
This paper extends Ozawa's property (T) criterion from groups to rigid semisimple C*-tensor categories using semi-pre-C*-algebras and annular representation techniques.
Contribution
It introduces a Positivstellensatz framework for C*-tensor categories, broadening the understanding of property (T) in this setting.
Findings
Extended Ozawa's criterion to C*-tensor categories
Developed Positivstellensatz for semi-pre-C*-algebras
Provided new tools for analyzing property (T) in categorical contexts
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
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models