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

David Kyed

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arXiv · 0906.0656

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

David Kyed

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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.

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David Kyed. 2010-10-20. On the zeroth L^2-homology of a quantum group. https://arxiv.org/abs/0906.0656

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