Square-integrable coactions of locally compact quantum groups
Operator Algebras
2015-10-23 v3 Quantum Algebra
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.
Cite
@article{arxiv.0805.1488,
title = {Square-integrable coactions of locally compact quantum groups},
author = {Alcides Buss and Ralf Meyer},
journal= {arXiv preprint arXiv:0805.1488},
year = {2015}
}
Comments
28 pages; LaTeX with AMSart style; typos corrected; to appear in "Reports on Mathematical Physics"