Journal of Operator Theory

Volume 36, Issue 1, Summer 1996 pp. 157-177.

Remarks on braided C*-categories and endomorphisms of C*-algebras

Authors: Anna Paolucci
Author institution:School of Mathematics, University of Leeds, Leeds LS2 9JT, ENGLAND, UNITED KINGDOM

Summary: The duality theory for compact groups of Doplicher and Roberts deals with the category of finite dimensional continuous representations as an abstract C*-category. We study braided C*-categories for a compact matrix quantum group to model the non commutativity of the tensor product. Let F_d be the category of corepresentations of the quantum group U_q(d). We associate to the Yang-Baxter category YB(Fd) a C*-algebra, (O_d)^{U_q(d)}.

Keywords: Braided C*-categories, compact quantum group, endomorphisms, C*-algebras.

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