### Abstract

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) |
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Pages (from-to) | 379-393 |

Number of pages | 15 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 146 |

Issue number | 2 |

DOIs | |

State | Published - Mar 1 2009 |