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20012019
most citedCharacterizations of compact and discrete quantum groups through second duals

36 citations · 117 across the 42 of their papers we have counts for

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math.OA2014★ 6 cited

On positive definiteness over locally compact quantum groups

Volker Runde, Ami Viselter

The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various well-…

math.OA2013★ 3 cited

Ergodic theory for quantum semigroups

Volker Runde, Ami Viselter

Recent results of L. Zsido, based on his previous work with C. P. Niculescu and A. Stroh, on actions of topological semigroups on von Neumann algebras, give a Jacobs-de Leeuw-Glick…

math.OA2009

Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space

Volker Runde

Recently, M. Daws introduced a notion of co-representation of abelian Hopf--von Neumann algebras on general reflexive Banach spaces. In this note, we show that this notion cannot b…

math.OA2008★ 27 cited

Uniform continuity over locally compact quantum groups

Volker Runde

We define, for a locally compact quantum group in the sense of Kustermans--Vaes, the space of of left uniformly continuous elements in . This definition c…

math.OA2007★ 1 cited

Reiter's properties (P_1) and (P_2) for locally compact quantum groups

Matthew Daws, Volker Runde

A locally compact group is amenable if and only if it has Reiter's property for or, equivalently, all , i.e., there is a net of non-ne…

math.OA2006

Amenability and co-amenability in non-abelian group duality

Volker Runde

This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4