Chi-Keung Ng

Approximation property of C -algebraic Bundles

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.

Morita equivalences between fixed point algebras and crossed products

In this paper, we will prove that if A is a C *-algebra with an effective coaction e 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.

Property T for locally compact quantum groups

In this short paper, we obtained some equivalent formulations of property T for a general locally compact quantum group 𝔾, in terms of the full quantum group C*-algebras and the *-representation of associated with the trivial unitary corepresentation (that generalize the corresponding results for locally compact groups). Moreover, if 𝔾 is of Kac type, we show that 𝔾 has property T if and only if every finite-dimensional irreducible *-representation of is an isolated point in the spectrum of (this also generalizes the corresponding locally compact group result). In addition, we give a way to construct property T discrete quantum groups using bicrossed products.

Linear orthogonality preservers of Hilbert C*-modules over C*-algebras with real rank zero

Let

On quaternionic functional analysis

A

An example of amenable Kac systems

be a

Property (T) for non-unital C∗-algebras

C^*

THE Ext-FUNCTOR FOR THE CATEGORY OF COMPLETELY BOUNDED COMODULES

-algebra. Let

Transition probabilities of normal states determine the Jordan structure of a quantum system

E

A remark on Mansfield’s imprimitivity theorem

and