Reiter's properties for the actions of locally compact quantum groups on von Neumann algebras

2009/06/27 by Ramezanpour, M., Vishki, H. R. Ebrahimi
#22D10 #22D15 #22F05 #43A07 #46L07 #46L55 #46L65 #46L89 #81R15 #81R50 #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.0906.5105

Abstract

The notion of an action of a locally compact quantum group on a von Neumann algebra is studied from the amenability point of view. Various Reiter's conditions for such an action are discussed. Several applications to some specific actions related to certain representations and corepresentaions are presented.

Related

• The unitary implementation of a locally compact quantum group action
• Amenability and covariant injectivity of locally compact quantum groups
• Locally compact quantum groups in the von Neumann algebraic setting
• Representation of left centralizers for actions of locally compact quantum groups
• Quantum groups with projection on von Neumann algebra level