Abstract
On a reduced analytic .ℂ-algebraR there are faithful analytic actions of complex Lie groups of arbitrarily high dimension if and only ifR has Krull dimension ≥2.
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Müller, G. Actions of complex Lie groups on analytic ℂ-algebras. Monatshefte für Mathematik 103, 221–231 (1987). https://doi.org/10.1007/BF01364341
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DOI: https://doi.org/10.1007/BF01364341