Homogeneous spectral sets and local-global methods in Banach algebras

The search for topological characterization of algebraic properties of commutative Banach algebras has often led to the calculation of cohomology groups of its spectrum. In the present paper, a tool is developed which permits the application of sheaf cohomological methods to such problems by lifting...

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Publicado: 1988
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v134_n1_p133_Larotonda
http://hdl.handle.net/20.500.12110/paper_00308730_v134_n1_p133_Larotonda
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spelling paper:paper_00308730_v134_n1_p133_Larotonda2023-06-08T14:56:33Z Homogeneous spectral sets and local-global methods in Banach algebras The search for topological characterization of algebraic properties of commutative Banach algebras has often led to the calculation of cohomology groups of its spectrum. In the present paper, a tool is developed which permits the application of sheaf cohomological methods to such problems by lifting sequences of complex analytic manifolds to sequences of spectral sets and cohomology groups. © 1988 by Pacific Journal of Mathematics. 1988 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v134_n1_p133_Larotonda http://hdl.handle.net/20.500.12110/paper_00308730_v134_n1_p133_Larotonda
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The search for topological characterization of algebraic properties of commutative Banach algebras has often led to the calculation of cohomology groups of its spectrum. In the present paper, a tool is developed which permits the application of sheaf cohomological methods to such problems by lifting sequences of complex analytic manifolds to sequences of spectral sets and cohomology groups. © 1988 by Pacific Journal of Mathematics.
title Homogeneous spectral sets and local-global methods in Banach algebras
spellingShingle Homogeneous spectral sets and local-global methods in Banach algebras
title_short Homogeneous spectral sets and local-global methods in Banach algebras
title_full Homogeneous spectral sets and local-global methods in Banach algebras
title_fullStr Homogeneous spectral sets and local-global methods in Banach algebras
title_full_unstemmed Homogeneous spectral sets and local-global methods in Banach algebras
title_sort homogeneous spectral sets and local-global methods in banach algebras
publishDate 1988
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v134_n1_p133_Larotonda
http://hdl.handle.net/20.500.12110/paper_00308730_v134_n1_p133_Larotonda
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