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math.OA2013
The Haagerup property for arbitrary von Neumann algebras
Martijn Caspers, Adam Skalski
We introduce a natural generalization of the Haagerup property of a finite von Neumann algebra to an arbitrary von Neumann algebra (with a separable predual) equipped with a normal…
math.OA2013★ 6 cited
Weak amenability of locally compact quantum groups and approximation properties of extended quantum SU(1,1)
Martijn Caspers
We study weak amenability for locally compact quantum groups in the sense of Kustermans and Vaes. In particular, we focus on non-discrete examples. We prove that a coamenable quant…
math.OA2013
Operator biflatness of the -algebras of compact quantum groups
Martijn Caspers, Hun Hee Lee, Éric Ricard
We prove that the -algebra of any non-Kac type compact quantum group does not satisfy operator biflatness. Since operator amenability implies operator biflatness, this result…