解析泛函代数与同调满同态
Algebras of analytic functionals and homological epimorphisms
AI总结：
本文证明连通复李群上的解析泛函代数在无需可解性假设下满足同调满同态性质，并推广到更一般的完备化同态，包括关于Banach PI-代数的包络。
摘要：
作者已在[arXiv: 2404.19433]中证明可解李代数的Arens-Michael包络是同调满同态。本文证明对于连通复李群上的解析泛函代数，无需可解性假设即可满足类似结论，并且更一般形式的完备化同态也是同调满同态，包括关于Banach PI-代数类的包络。
英文摘要：
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.
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