We show that the equivariant cohomology of any hyperpolar action of a compact and connected Lie group on a symmetric space of compact type is a Cohen-Macaulay ring. This generalizes some results previously obtained by the authors.
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Oliver Goertsches, Sam Hagh Shenas Noshari, Augustin-Liviu Mare, On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces. Doc. Math. 24 (2019), pp. 1657–1676DOI 10.4171/DM/711