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

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

2008-09-02

arxiv.org/abs/0809.0466v1

Mathematics

Algebraic Topology

Scientific paper

10.1017/S0305004108001928

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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