On the zeroth L^2-homology of a quantum group

Details On the zeroth L^2-homology of a quantum group On the zeroth L^2-homology of a quantum group

2009-06-03

arxiv.org/abs/0906.0656v2

Mathematics

Operator Algebras

9 pages, minor revison, to appear in M\"unster J. of Math

Scientific paper

We prove that the zeroth L^2-Betti number of a compact quantum group vanishes
unless the underlying C*-algebra is finite dimensional and that the zeroth
L^2-homology itself is non-trivial exactly when the quantum group is
coamenable.

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