Rational Equivariant Rigidity
Algebraic Topology
2012-01-27 v2
Abstract
We prove that if G is the circle group or a profinite group, then the all of the homotopical information of the category of rational G-spectra is captured by triangulated structure of the rational G-equivariant stable homotopy category. That is, for G profinite or S1, the rational G-equivariant stable homotopy category is rigid. For the case of profinite groups this rigidity comes from an intrinsic formality statement, so we carefully relate the notion of intrinsic formality of a differential graded algebra to rigidity.
Cite
@article{arxiv.1009.4329,
title = {Rational Equivariant Rigidity},
author = {David Barnes and Constanze Roitzheim},
journal= {arXiv preprint arXiv:1009.4329},
year = {2012}
}
Comments
19 Pages, new sections added on S1 rigidity and the relation between intrinsic formality and rigidity