4 papers · 1 filter
On amenability and co-amenability of algebraic quantum groups and their corepresentations
E. Bedos, R. Conti, L. Tuset
We introduce and study several amenability properties for unitary corepresentations and *-representations of algebraic quantum groups, which may be used to characterize amenability…
Amenability and co-amenability of algebraic quantum groups II
E. Bedos, G. J. Murphy, L. Tuset
We continue our study of the concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele and our investigation of their relationship with n…
Amenability and co-amenability of algebraic quantum groups
E. Bedos, G. J. Murphy, L. Tuset
We define concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele. We show that co-amenability of an algebraic quantum group always imp…
Differential Calculi over Quantum Groups and Twisted Cyclic Cocycles
J. Kustermans, G. J. Murphy, L. Tuset
We study some aspects of the theory of non-commutative differential calculi over complex algebras, especially over the Hopf algebras associated to compact quantum groups in the sen…