Title: The product formula in unitary deformation $K$-theory
Author: Tyler Lawson
MSC classification: 19D23; 19L41; 20C99
PaperID: math.KT/0503468
Address: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139
Email: tlawson@math.mit.edu
Abstract: We prove that "unitary deformation K-theory" takes products of
finitely generated groups to coproducts of algebra spectra over ku, the
connective K-theory spectrum. Additionally, we give spectral sequences
for computing the homotopy groups of the unitary deformation K-theory of
a group G and the cofiber of the Bott map in terms of PU(n)-equivariant
K-theory and homology of spaces of G-representations.