An L^2-Kunneth formula for tracial algebras

Details An L^2-Kunneth formula for tracial algebras An L^2-Kunneth formula for tracial algebras

2009-03-05

arxiv.org/abs/0903.0931v1

Mathematics

Operator Algebras

10 pages

Scientific paper

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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