10 citations · 11 across the 3 of their papers we have counts for
3 papers
math.OA2009★ 1 cited
An L^2-Kunneth formula for tracial algebras
David Kyed
We prove a Kunneth formula computing the Connes-Shlyakhtenko L^2-Betti numbers of the algebraic tensor product of two tracial *-algebras in terms of the L^2-Betti numbers of the tw…
math.OA2007★ 10 cited
L^2-Betti numbers of coamenable quantum groups
David Kyed
We prove that a compact quantum group is coamenable if and only if its corepresentation ring is amenable. We further propose a Foelner condition for compact quantum groups and prov…
math.OA2006
L^2-homology for compact quantum groups
David Kyed
A notion of L^2-homology for compact quantum groups is introduced, generalizing the classical notion for countable, discrete groups. If the compact quantum group in question has tr…