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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】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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【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】A remark on Mansfield's Imprimitivity Theorem
吴志强, Chi-Keung Ng
,-0001,():
-1年11月30日
We show that the Morita equivalence part of Mansfield's Imprimitivity Theory can be obtained by Green's Imprimitivity Theorem (and duality theory).
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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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