The Bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)
Algebraic Topology
2009-11-13 v1
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.
Keywords
Cite
@article{arxiv.0809.0466,
title = {The Bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)},
author = {Tyler Lawson},
journal= {arXiv preprint arXiv:0809.0466},
year = {2009}
}