Matthias Neufang

Multipliers on a new class of Banach algebras, locally compact quantum groups, and topological centres

We study multiplier algebras for a large class of Banach algebras which contains the group algebra

Completely isometric representations of McbA(G) and UCB(Ĝ)ß

L_1(G)

POISSON BOUNDARIES OVER LOCALLY COMPACT QUANTUM GROUPS

, the Beurling algebras

Completely isometric representations of _{}() and ()*

L_1(G, \omega)

Solution to Farhadi-Ghahramani’s multiplier problem

, and the Fourier algebra

Quantum channels arising from abstract harmonic analysis

A(G)

On the topological centre problem for weighted convolution algebras and semigroup compactifications

of a locally compact group

Proof of the Ghahramani–Lau conjecture

G

Convolution of trace class operators over locally compact quantum groups

. This study yields numerous new results and unifies some existing theorems on

COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS

L_1(G)