An L2-Kunneth formula for tracial algebras
Abstract
We prove a Kunneth formula computing the Connes-Shlyakhtenko L2-Betti numbers of the algebraic tensor product of two tracial *-algebras in terms of the L2-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 L2-Betti number.
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