Rational O(2)-Equivariant Spectra

Details Rational O(2)-Equivariant Spectra Rational O(2)-Equivariant Spectra

2012-01-31

arxiv.org/abs/1201.6610v1

Mathematics

Algebraic Topology

55 pages

Scientific paper

We find a simple algebraic model for rational O(2)-equivariant spectra, via a series of Quillen equivalences. This model, along with an Adams short exact sequence, will allow us to easily perform constructions and calculations. Furthermore all of our constructions are monoidal, so we can use this classification to understand ring spectra and module spectra via the algebraic model.

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