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【期刊论文】Duality of Hopf C*-algebras
吴志强, Chi-Keung Ng
,-0001,():
-1年11月30日
In this paper, we study the duality theory of Hopf C -algebras in a general "Hilbert-space-free" framework. Our particular interests are the "full duality" and the "reduced duality". In order to study the reduced duality, we define the interesting notion of Fourier algebra of a general Hopf C*-algebra. This study of reduced duality and Fourier algebra is found to be useful in the study of other aspects of Hopf C -algebras (see e.g. [12], [13] and [14]).
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【期刊论文】Cohomology of Hopf C*-algebras and Hopf von Neumann algebras
吴志强, Chi-Keung Ng
,-0001,():
-1年11月30日
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.
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【期刊论文】Amenable representations and Reiter's property for Kac algebras
吴志强, Chi-Keung Ng
,-0001,():
-1年11月30日
In this paper, we study amenable unitary corepresentations of Kac algebras (which is defined in analogy to the case of locally compact groups). We also study some sorts of "non-commutative" Reiter's properties. As an application, we find some new equivalent conditions for the amenability of Kac algebras.
Kac algebras,, amenability,, Reiter', s property,, amenable representations
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【期刊论文】Regular normed bimodules
吴志强, Chi-Keung Ng*
,-0001,():
-1年11月30日
In this article, we will give a chara+M40cterization of Banach bimodules over C*-algebras of compact operators that arises from operator spaces as well as a characterization of (F)-Banach bundles amongst all (H)-Banach bundles over a hyper-Stonian space. These two characterizations are concerned with whether certain natural map from a Banach bimodule to its canonical bidual is isometric (we call such bimodule regular).
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【期刊论文】THE Ext-FUNCTOR FOR THE CATEGORY OF COMPLETELY 5 BOUNDED COMODULES
吴志强, CHI-KEUNG NG
International Journal of Mathematic1s Vol.16, No.3 (2005) 1-26,-0001,():
-1年11月30日
In this article, we will give the definition of the Ext-functor for the category MS of 13 (completely bounded) counital right S-comodules (where S is a counital Hopf C*-algebra that is either unital or nuclear) using the derived functor approach. Moreover, we will give a brief discussion on the injective objects in M15 S.
Hopf C*, -algebras, Ext-functor, injective objects, cohomology theory.,
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