# Torus equivariant algebraic models and compact realization

@inproceedings{Zoller2021TorusEA, title={Torus equivariant algebraic models and compact realization}, author={Leopold Zoller}, year={2021} }

Let T be a compact torus. We prove that, up to equivariant rational equivalence, the category of T -simply connected, T -finite type T -spaces with finitely many isotropy types is completely described by certain finite systems of commutative differential graded algebras with consistent choices of degree 2 cohomology classes. We show that the algebraic systems corresponding to finite T -CW-complexes are exactly those which satisfy the necessary condition imposed by the Borel localization theorem…

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