Square-integrable coactions of locally compact quantum groups

Abstract

We define and study square-integrable coactions of locally compact quantum groups on Hilbert modules, generalising previous work for group actions. As special cases, we consider square-integrable Hilbert space corepresentations and integrable coactions on C*-algebras. Our main result is an equivariant generalisation of Kasparov's Stabilisation Theorem.

28 pages; LaTeX with AMSart style; typos corrected; to appear in "Reports on Mathematical Physics"

References in corpus (2)

• Non-semi-regular quantum groups coming from number theory
• Generalized fixed point algebras and square-integrable group actions