Article thumbnail

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

By David Kyed and Sven Raum

Abstract

We show that the first $\ell^2$-Betti number of the duals of the free unitary quantum groups is one, and that all $\ell^2$-Betti numbers vanish for the duals of the quantum automorphism groups of full matrix algebras.Comment: 16 pages; v3: accepted for publication in Math. Ann.; following the referee's suggestion Remark 1.8 was made more explicit and turned into Lemma 1.8; a reference to more recent developments on l^2-Betti numbers was added at the end of the article; v2: we remark that l2-Betti numbers of the free unitary quantum groups vanish in degree at least 4, references added, typos correcte

Topics: Mathematics - Operator Algebras, 16T05, 46L52
Year: 2017
OAI identifier: oai:arXiv.org:1610.05474

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.