6 papers
Representations of algebraic quantum groups and reconstruction theorems for tensor categories
M. Mueger, J. E. Roberts, L. Tuset
We give a pedagogical survey of those aspects of the abstract representation theory of quantum groups which are related to the Tannaka-Krein reconstruction problem. We show that ev…
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…
Representations of Direct Product of Matrix Algebras
Daniele Guido, Lars Tuset
Suppose B is the unital algebra consisting of the algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducibl…