17 citations · 94 across the 23 of their papers we have counts for
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math.OA2009★ 3 cited
Applications of Foelner's condition to quantum groups
David Kyed, Andreas Thom
Using the Foelner condition for coamenable quantum groups we derive information about the ring theoretical structure of the Hopf algebras arising from such quantum groups, as well…
math.OA2009★ 2 cited
On the zeroth L^2-homology of a quantum group
David Kyed
We prove that the zeroth L^2-Betti number of a compact quantum group vanishes unless the underlying C*-algebra is finite dimensional and that the zeroth L^2-homology itself is non-…
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…