Year: 2026
Type: article
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.
DOI: 10.5802/ambp.442
Authors: Lucas Hataishi, Makoto Yamashita
Institutions: University of Oxford, University of Oslo
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417522097