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
Format:PDF document
Digital documents:mjm_vol_4_07.pdf