Homological dimensions of algebras of analytic functionals and their completions
Functional Analysis
2025-10-31 v1 K-Theory and Homology
Abstract
We show that the main homological dimensions of the algebra of analytic functionals on a connected complex Lie group, as well as some of its completions, coincide with the dimension of the simply connected solvable factor in the canonical decomposition of the linearization of this group. Thus, the possible nontriviality of a linearly complex reductive factor does not affect the homological properties of the algebras under consideration.
Cite
@article{arxiv.2510.26249,
title = {Homological dimensions of algebras of analytic functionals and their completions},
author = {Oleg Aristov},
journal= {arXiv preprint arXiv:2510.26249},
year = {2025}
}
Comments
in Russian language