منابع مشابه
Cohomology of Hopf C-algebras and Hopf von Neumann algebras
We will define two canonical cohomology theories for Hopf C∗-algebras and for Hopf von Neumann algebras (with coefficients in their comodules). We will then study the situations when these cohomologies vanish. The cases of locally compact groups and compact quantum groups will be considered in more details. 1991 AMS Mathematics Classification number: Primary: 46L55, 46L05; Secondary: 43A07, 22D25
متن کاملFull Crossed Products by Hopf C∗-algebras
We show that when a co-involutive Hopf C *-algebra S coacts via δ on a C *-algebra A, there exists a full crossed product A × δ S, with universal properties analogous to those of full crossed products by locally compact groups. The dual Hopf C *-algebra is then defined byˆS := C × id S.
متن کاملWeak C-Hopf Algebras and Multiplicative Isometries
We show how the data of a finite dimensional weak C∗-Hopf algebra can be encoded into a pair (H, V ) where H is a finite dimensional Hilbert space and V :H⊗H → H⊗H is a partial isometry satisfying, among others, the pentagon equation. In case of V being unitary we recover the Baaj-Skandalis multiplicative unitary of the discrete compact type. Relation to the pseudomultiplicative unitary approac...
متن کاملBaxter Algebras and Hopf Algebras
George E. Andrews Department of Mathematics Pennsylvania State University University Park, PA 16802, USA ([email protected]) Li Guo Department of Mathematics and Computer Science Rutgers University at Newark Newark, NJ 07102, USA ([email protected]) William Keigher Department of Mathematics and Computer Science Rutgers University at Newark Newark, NJ 07102, USA ([email protected]...
متن کاملBraided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras
Let (H, σ) be a coquasitriangular Hopf algebra, not necessarily finite dimensional. Following methods of Doi and Takeuchi, which parallel the constructions of Radford in the case of finite dimensional quasitriangular Hopf algebras, we define Hσ , a sub-Hopf algebra of H, the finite dual of H. Using the generalized quantum double construction and the theory of Hopf algebras with a projection, we...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2001
ISSN: 0024-6115
DOI: 10.1112/s002461150101276x