L-2-Betti numbers of locally compact groups

Henrik Densing Petersen
2013
Article

Résumé

The present paper is a summary and overview of results obtained in the author's thesis, "L-2-Betti Numbers of Locally Compact Groups", wherein the definition of L-2-Betti numbers for countable groups is extended to locally compact unimodular groups. In many cases, the L-2-Betti numbers of a lattice are proportional to those of the ambient locally compact group, yielding new results for certain classes of lattices, including arithmetic lattices and Kac-Moody lattices. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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https://infoscience.epfl.ch/record/189136?ln=fr

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