A Caveat on the Isomorphism Conjecture in L-theory, by Tom Farrell, Lowell Jones, and Wolfgang Lueck

The Isomorphism Conjecture of Farrell and Jones for L-theory has only been formulated for the decoration -infinity and in this formulation been proved for a large class of groups. The question arises whether the corresponding conjecture is true for L^e for the decorations e = p,h,s. We give examples showing that it fails for any of the decorations e = p,h,s. The groups involved are products of finite groups by the free abelian group of rank two.


Tom Farrell <farrell@math.binghamton.edu>
Lowell Jones <lejones@math.sunysb.edun>
Wolfgang Lueck <lueck@math.uni-muenster.de>