Journal of Operator Theory
Volume 67, Issue 2, Spring 2012 pp. 317-327.
An L2-Kunneth formula for tracial algebrasAuthors: David Kyed
Author institution: Mathematisches Institut, Georg-August-Universitaet Goetting\-en, Bunsenstrasse 3-5, D-37073 Goettingen, Germany
Summary: We prove a K{\"u}nneth formula computing the Connes--Shlyakh\-tenko L2-Betti numbers of the algebraic tensor product of two tracial ∗-alge\-bras in terms of the L2-Betti numbers of the two original algebras. As an application, we construct examples of compact quantum groups with a non-vanishing first L2-Betti number.
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