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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

TYLER LAWSON
TYLER LAWSON*
Affiliation:
Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A. e-mail: [email protected]
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 2 , March 2009 , pp. 379 - 393
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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