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Henrik Densing Petersen

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Related publications (5)

Please note that this is not a complete list of this person’s publications. It includes only semantically relevant works. For a full list, please refer to Infoscience.

L-2-Betti numbers and Plancherel measure

Henrik Densing Petersen, Alain Valette

We compute L-2-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure. This allows us to compute the L-2-Bet ...

Academic Press Inc Elsevier Science2014

L-2-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices

Henrik Densing Petersen

2018

A Groupoid Approach to Luck's Amenability Conjecture

Henrik Densing Petersen

We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring inclusions naturally associated with measure preserving actions of the group. This provides a group-measure space theoretic solution to a conjecture of Luck s ...

Osaka Journal Of Mathematics2014