Homogeneous spectral sets and local-global methods in Banach algebras

DOI10.2140/pjm.1988.134.133zbMath0622.46038OpenAlexW2010931926MaRDI QIDQ1090896

Angel R. Larotonda, Ignacio Zalduendo

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.134.133

zbMATH Keywords

cohomology groupsexactness is preserved locallylifting exact sequences of Lie groups and homogeneous spaces to sequences of spectral setslifting sequences of complex analytic manifolds to sequences of spectral sets and cohomology groupssheaf cohomological methodssheaf of an algebra over its spectrumtopological characterizations of algebraic properties of commutative Banach algebras

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)