A natural extension of a left invariant lower semi-continuous weight

1997/04/21 by Kustermans, Johan
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.funct-an/9704005

Abstract

In this paper, we describe a natural method to extend left invariant weights on C*-algebraic quantum groups. This method is then used to improve the left invariance property of a left invariant weight. We also prove some kind of uniqueness result for left Haar weights on C*-algebraic quantum groups arising from algebraic ones.

Related

• Weight theory for C*-algebraic quantum groups
• Universal C*-algebraic quantum groups arising from algebraic quantum groups
• Haar measure on a locally compact quantum group
• Locally compact quantum groups in the von Neumann algebraic setting
• Idempotent states on locally compact quantum groups II