We show that there is a homotopy cofiber sequence of spectra relating Carlsson's deformation K-theory of a group G to its deformation representation ring, analogous to the Bott periodicity sequence relating connective K-theory to ordinary homology. We then apply this to study simultaneous similarity of unitary matrices.
|Original language||English (US)|
|Number of pages||15|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - Mar 1 2009|