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arXiv · 0903.0931

An L^2-Kunneth formula for tracial algebras

David Kyed
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Abstract

We prove a Kunneth formula computing the Connes-Shlyakhtenko L^2-Betti numbers of the algebraic tensor product of two tracial *-algebras in terms of the L^2-Betti numbers of the two original algebras. As an application, we construct examples of non-finite, non-cocommutative, compact quantum groups with a non-vanishing first L^2-Betti number.

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David Kyed. 2009-03-05. An L^2-Kunneth formula for tracial algebras. https://arxiv.org/abs/0903.0931

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