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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】Morita equivalences between fixed point algebras and crossed products
吴志强, Chi-Keung Ng*
,-0001,():
-1年11月30日
In this paper, we will prove that if A is a C*-algebra with an effective coaction by a compact quantum group, then the fixed point algebra and the reduced crossed product are Morita equivalent. As an application, we prove an imprimitivity type theorem for crossed products of coactions by discrete Kac C*-algebras.
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【期刊论文】Approximation property of C*-algebraic Bundles
吴志强, Ruy Exel* and Chi-Keung Ng
,-0001,():
-1年11月30日
In this paper, we will define the reduced cross-sectional C*-algebras of C*-algebraic bundles over locally compact groups and show that if a C*-algebraic bundle has the approximation property (defined similarly as in the discrete case), then the full cross-sectional C*-algebra and the reduced one coincide. Moreover, if a semi-direct product bundle has the approximation property and the underlying C*-algebra is nuclear, then the cross-sectional C*-algebra is also nuclear. We will also compare the approximation property with the amenability of Anantharaman-Delaroche in the case of discrete groups.
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【期刊论文】Profinite quantum groups
吴志强, Chi-Keung Ng*
Math. Nachr. 254-255, 197-217 (2003),-0001,():
-1年11月30日
Compact quantum groups,, profinite groups,, inductive limits,, subfactors
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