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The Bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)
Published online by Cambridge University Press: 01 March 2009
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.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 2 , March 2009 , pp. 379 - 393
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- Copyright © Cambridge Philosophical Society 2008
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