TY - JOUR

T1 - The bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)

AU - Lawson, Tyler

N1 - Funding Information:
† Supported in part by NSF grant DMS-0402950.

PY - 2009/3

Y1 - 2009/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=68349132119&partnerID=8YFLogxK

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U2 - 10.1017/S0305004108001928

DO - 10.1017/S0305004108001928

M3 - Article

AN - SCOPUS:68349132119

VL - 146

SP - 379

EP - 393

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 2

ER -