Homogeneous spectral sets and local-global methods in Banach algebras

Angel Larotonda, Ignacio Zalduendo
1988 Pacific Journal of Mathematics  
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.
doi:10.2140/pjm.1988.134.133 fatcat:gemfqkdqfjgqnhhsbznsf4d4ya