David Kyed

activity

20062025

most citedDynamics of compact quantum metric spaces

17 citations · 94 across the 23 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.OA2016★ 5 cited

Higher l^2-Betti numbers of universal quantum groups

Julien Bichon, David Kyed, Sven Raum

We calculate all $ℓ^{2}$ -Betti numbers of the universal discrete Kac quantum groups $U^_{n}^{+}$ as well as their full half-liberated counterparts $U^_{n}^{*}$ .

math.OA2016★ 1 cited

On the l^2-Betti numbers of universal quantum groups

David Kyed, Sven Raum

We show that the first $ℓ^{2}$ -Betti number of the duals of the free unitary quantum groups is one, and that all $ℓ^{2}$ -Betti numbers vanish for the duals of the quantum automor…

math.GR2016

Topologizing Lie algebra cohomology

David Kyed

We show that the theory of Lie algebra cohomology can be recast in a topological setting and that classical results, such as the Shapiro lemma and the van Est isomorphism, carry ov…