On the zeroth L^2-homology of a quantum group
Operator Algebras
2010-10-21 v2 Quantum Algebra
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.
Cite
@article{arxiv.0906.0656,
title = {On the zeroth L^2-homology of a quantum group},
author = {David Kyed},
journal= {arXiv preprint arXiv:0906.0656},
year = {2010}
}
Comments
9 pages, minor revison, to appear in M\"unster J. of Math