标题： Yetter-Drinfeld C*-代数的范畴对偶。 超越辫交换的情形 显示英文标题

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

摘要： 我们发展了一种张量范畴对偶理论，类似于紧量子群上C*-代数的Yetter-Drinfeld模结构的Tannaka-Krein对偶。 在这种对偶下，对于给定的约化紧量子群G，Yetter-Drinfeld G-C*-代数对应于表示范畴Rep(G)上的双模范畴，并且满足一定的中心性条件。 显示英文摘要

摘要： 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.