  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.
