Algebras of analytic functionals and homological epimorphisms
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913160612544512 |
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| author | Aristov, Oleg |
| author_facet | Aristov, Oleg |
| contents | It has been proved by the author [arXiv: 2404.19433] that the Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism. We show here that for algebras of analytic functionals on a connected complex Lie group the analogous statement is satisfied without the assumption of solvability, and furthermore the completion homomorphisms of a more general form are also homological epimorphisms, including the envelope with respect to the class of Banach PI-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebras of analytic functionals and homological epimorphisms Aristov, Oleg Functional Analysis It has been proved by the author [arXiv: 2404.19433] that the Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism. We show here that for algebras of analytic functionals on a connected complex Lie group the analogous statement is satisfied without the assumption of solvability, and furthermore the completion homomorphisms of a more general form are also homological epimorphisms, including the envelope with respect to the class of Banach PI-algebras. |
| title | Algebras of analytic functionals and homological epimorphisms |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2503.02474 |