135 citations · 142 across the 6 of their papers we have counts for
6 papers
Quantum groups, differential calculi and the eigenvalues of the Laplacian
J. Kustermans, G. J. Murphy, L. Tuset
We study *-differential calculi over compact quantum groups in the sense of S.L. Woronowicz. Our principal results are the construction of a Hodge operator commuting with the Lapla…
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…
Co-Amenability of compact quantum groups
Erik Bedos, Gerard J. Murphy, Lars Tuset
We study the concept of co-amenability for a compact quantum group. Several conditions are derived that are shown to be equivalent to it. Some consequences of co-amenability that w…
C*-Algebras with the Approximate Positive Factorization Property
Gerard J. Murphy, N. Christopher Phillips
We say that a unital C*-algrebra A has the approximate positive factorization property (APFP) if every element of A is a norm limit of products of positive elements of A. (There is…