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

Tyler Lawson

doi:10.1017/S0305004108001928

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

Tyler Lawson

Mathematics

Research output: Contribution to journal › Article

7 Scopus citations

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)
Pages (from-to)	379-393
Number of pages	15
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	146
Issue number	2
DOIs	https://doi.org/10.1017/S0305004108001928
State	Published - Mar 1 2009

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Lawson, T. (2009). The bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n). Mathematical Proceedings of the Cambridge Philosophical Society, 146(2), 379-393. https://doi.org/10.1017/S0305004108001928

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10.1017/S0305004108001928