Square-integrable coactions of locally compact quantum groups

Details Square-integrable coactions of locally compact quantum groups Square-integrable coactions of locally compact quantum groups

2008-05-10

arxiv.org/abs/0805.1488v3

Mathematics

Operator Algebras

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

Scientific paper

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.

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