Quotients of the crown domain by a proper action of a cyclic group

Vitali, Sara

doi:10.1090/S0002-9947-2014-06006-6

Quotients of the crown domain by a proper action of a cyclic group
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Trans. Amer. Math. Soc. 366 (2014), 3227-3239 Request permission

Abstract:

Let $G/K$ be an irreducible Riemannian symmetric space of the non-compact type and denote by $\Xi$ the associated crown domain. We show that for any proper action of a cyclic group $\Gamma$ the quotient $\Xi /\Gamma$ is Stein. An analogous statement holds true for discrete nilpotent subgroups of a maximal split-solvable subgroup of $G$. We also show that $\Xi$ is taut.

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