×

Separable algebras over a commutative Banach algebra. (English) Zbl 0554.46022

From the authors’ abstract: ”We show that the projective separable algebras over a commutative Banach algebra R with maximal ideal space X are the same as those over C(X). Two consequences of this are the identification of the Brauer group of R with that of C(X), and the identification of the set of covering algebras of R with the finitely fibred covering spaces of X”.
Reviewer: L.Y.H.Yap

MSC:

46J05 General theory of commutative topological algebras
46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
16Exx Homological methods in associative algebras
PDFBibTeX XMLCite
Full Text: DOI