A Caveat on the Isomorphism Conjecture in L-theory

Abstract

The Isomorphism Conjecture of Farrell and Jones for L-theory [5] has only been formulated for L�y and in this formulation been proved for a large class of groups, for instance for discrete cocompact subgroups of a virtually connected Lie group. The question arises whether the corresponding conjecture is true for Le for the decorations e ˆ p; h; s. We give examples showing that it fails for any of the decorations e ˆ p; h; s. The groups involved are of the shape Z 2 F for finite F.