## Algebraic & Geometric Topology

### Rational equivariant cohomology theories with toral support

J P C Greenlees

#### Abstract

For an arbitrary compact Lie group $G$, we describe a model for rational $G$–spectra with toral geometric isotropy and show that there is a convergent Adams spectral sequence based on it. The contribution from geometric isotropy at a subgroup $K$ of the maximal torus of $G$ is captured by a module over $H∗(BWGe(K))$ with an action of $π0(WG(K))$, where $WGe(K)$ is the identity component of $WG(K) = NG(K)∕K$.

#### Article information

Source
Algebr. Geom. Topol., Volume 16, Number 4 (2016), 1953-2019.

Dates
Revised: 29 October 2015
Accepted: 6 November 2015
First available in Project Euclid: 28 November 2017

https://projecteuclid.org/euclid.agt/1511895905

Digital Object Identifier
doi:10.2140/agt.2016.16.1953

Mathematical Reviews number (MathSciNet)
MR3546456

Zentralblatt MATH identifier
1358.55004

#### Citation

Greenlees, J P C. Rational equivariant cohomology theories with toral support. Algebr. Geom. Topol. 16 (2016), no. 4, 1953--2019. doi:10.2140/agt.2016.16.1953. https://projecteuclid.org/euclid.agt/1511895905

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