The bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)

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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 languageEnglish (US)
Pages (from-to)379-393
Number of pages15
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume146
Issue number2
DOIs
StatePublished - Mar 2009

Bibliographical note

Funding Information:
† Supported in part by NSF grant DMS-0402950.

Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.

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