Baum-Connes conjecture and extensions

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Permanence properties of the Baum-Connes conjecture (2001, result): “We reached the latter objective in full generality in the case when G/N is totally disconnected (see Theorem 3.3 below), inspired from some ideas exposed in [22], where Oyono-Oyono obtains quite similar results for discrete G.”
Going-down functors, the Künneth formula, and the Baum-Connes conjecture (2004, methodology): “…transformation from F * to G * which satisfies the conditions of Definition 1.3 (the necessary computations have been performed in a much more general setting in [8, §5] — the proof in the present case of direct products is much easier, as can be seen in the case of discrete groups in [28]).”
The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory (2004, background): “4 and [233, 234]) Mislin describes an even larger class of groups for which the conjecture is known [225, theorem 5.”