2005/03/22 by Tyler Lawson, Lawson, Tyler
Mathematics · Physics and Astronomy · #19D23 (Primary) 19L41 #20C99 (Secondary) #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.AT #math.KT #math.RT #msc:19D23 #msc:19L41 #msc:20C99
paper · pdf · doi:10.48550/arxiv.math/0503468
36 pages (revised version)
openalex publication_date 2005/03/22 · arxiv created 2006/05/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.