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arXiv · 2504.21162

Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case

Lucas Hataishi·Makoto Yamashita
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Abstract

We develop a tensor categorical duality in the sprit of the Tannaka-Krein duality for the C*-algebras admitting the Yetter-Drinfeld module structure over a compact quantum group. Under this duality, given a reduced compact quantum group G, the Yetter-Drinfeld G-C*-algebras correspond to the bimodule categories over the representation category Rep(G), satisfying a certain centrality condition.

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Lucas Hataishi, Makoto Yamashita. 2025-04-29. Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case. https://arxiv.org/abs/2504.21162

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