The product formula in unitary deformation K-theory

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Abstract

For finitely generated groups G and H, we prove that there is a weak equivalence KG ∧ ku KH ≃ K(G × H) of ku-algebra spectra, where K denotes the "unitary deformation K-theory" functor. Additionally, we give spectral sequences for computing the homotopy groups of KG and Hℤ ∧ kuKG in terms of connective K-theory and homology of spaces of G-representations.

Original languageEnglish (US)
Pages (from-to)395-422
Number of pages28
JournalK-Theory
Volume37
Issue number4
DOIs
StatePublished - Apr 2006

Keywords

  • Connective K-theory
  • Deformation K-theory

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