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.
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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 -