The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism

Published 30 Apr 2024 in math.FA, math.KT, and math.RA | (2404.19433v4)

Abstract: The Arens-Michael envelope of the universal enveloping algebra of a finite-dimensional complex Lie algebra is a homological epimorphism if and only if the Lie algebra is solvable. The necessity was proved by Pirkovskii in [Proc. Amer. Math. Soc. 134, 2621--2631, 2006]. We prove the sufficiency.

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Authors (1)

Oleg Aristov

References (1)

O. Yu. Aristov, The relation “Commutator equals function” in Banach algebras, Math. Notes, 109:3 (2021), 323–334.

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