Topology Seminar for 2/27/2003

Frank Quinn
VPISU and Princeton University

Algebraic K-theory of poly-(finite or cyclic) groups

Abstract

Controlled algebraic K-theory is used to relate ordinary K-theory and various exotic homology groups. We formulate the "infinite hyperelementary induction conjecture" refining the isomorphism conjecture of Farrell-Jones, and show the conjecture is true for poly-(finite or cyclic) groups.