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Non-commutative integration on quantum groups
July 19th, 2011, Departemental seminar (UNSW, Sydney).
Abstract
Quantum groups can be considered as deformations of a function algebra on locally compact groups. Many properties of
abstract harmonic analysis have a suitable interpretation in the deformed setting. For deformations of Lie groups also geometrical properties can be
recovered.
In this talk, I will give an introduction to quantum groups in an operator algebraic fashion. We will see how Fourier transforms can be defined on the
non-commutative L^p-spaces associated with a quantum group.
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