From multiplicative unitaries to quantum groups II

By P. Sołtan, S. Woronowicz. 2007

59 citations recorded by the source corpus.

Abstract It is shown that all important features of a C ∗ -algebraic quantum group ( A , Δ ) defined by a modular multiplicative W depend only on the pair ( A , Δ ) rather than the multiplicative unitary operator W. The proof is based on thorough study of representations of quantum groups. As an application we present a construction and study properties of the universal dual of a quantum group defined by a modular multiplicative unitary—without assuming existence of Haar weights.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f658ca85a727e520de607eddcba3248e072a4600