On the zeroth L²-homology of a quantum group

We prove that the zeroth L²-Betti number of a compact quantum group vanishes unless the underlying C*-algebra is finite dimensional and that the zeroth L²-homology itself is nontrivial exactly when the quantum group is coamenable.

Author: Kyed, David
Division/Institute:FB 10: Mathematik und Informatik
Document types:Article
Media types:Text
Publication date:2011
Date of publication on miami:14.11.2011
Modification date:08.05.2015
Source:Münster Journal of Mathematics, 4 (2011), S. 119-128
Edition statement:[Electronic ed.]
DDC Subject:510: Mathematik
License:InC 1.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-32449562328
Permalink:http://nbn-resolving.de/urn:nbn:de:hbz:6-32449562328
Digital documents:mjm_vol_4_07.pdf
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