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

Abstract

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.

9 pages, minor revison, to appear in Münster J. of Math

References in corpus (1)

• Co-Amenability of compact quantum groups