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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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【期刊论文】Some permanence properties of C*-unique groups☆
吴志强, Chi-Wai Leung a, * and Chi-Keung Ng b
Journal of Functional Analysis ■(■■■■) ■■■-■■■,-0001,():
-1年11月30日
We will study some permanence properties of C*-unique groups in details. In particular, normal subgroups and extensions will be considered. Among other interesting results, we prove that every second countable amenable group with an injective finite-dimensional representation (not necessarily unitary) is a retract of a C*-unique group. Moreover, any amenable discrete group is a retract of a discrete C*-unique group.
C*, -unique groups, Amenable groups, Induced representations
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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】AN EXAMPLE OF AMENABLE KAC SYSTEMS
吴志强, CHI-KEUNG NG
,-0001,():
-1年11月30日
By giving an interesting characterisation of amenable multiplicative unitaries, we show, in a very simple way, that bicrossproducts of amenable locally compact groups are both amenable and coamenable.
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【期刊论文】Morphisms of Multiplicative Unitaries
吴志强, Chi-Keung Ng†
,-0001,():
-1年11月30日
In this paper, we will give a natural definition for morphisms between multiplicative unitaries. We will then discuss some equivalences of this definition and some interesting properties of them. Moreover, we will define normal sub-multiplicative unitaries for multiplicative unitaries of discrete type and prove an imprimitivity type theorem for discrete multiplicative unitaries.
Hopf C-algebras,, multiplicative unitaries,, morphisms.,
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