The analytic structure of an algebraic quantum group

Abstract

A. Van Daele introduced and investigated so-called algebraic quantum groups. We proved that such algebraic quantum groups give rise to C*-algebraic quantum groups in the sense of Masuda, Nakagami & Woronowicz. We prove in this paper that the analytic structure of these C*-algebraic quantum groups can be pulled down to the algebraic quantum group.

LaTeX, 29 pages

References in corpus (3)

• KMS-weights on C*-algebras
• Universal C*-algebraic quantum groups arising from algebraic quantum groups
• Examining the dual of an algebraic quantum group

Cited by in corpus (6)

• A study of Galois objects for algebraic quantum groups
• Multiplier Hopf algebras imbedded in C${}^{\ast }$-algebraic quantum groups
• I-factorial quantum torsors and Heisenberg algebras of quantized universal enveloping type
• Amenability and co-amenability of algebraic quantum groups
• Towards the Baum-Connes' Analytical Assembly Map for the Actions of Discrete Quantum Groups
• Quantum bohr compactification