Craw, Ian; Ross, Susan Separable algebras over a commutative Banach algebra. (English) Zbl 0554.46022 Pac. J. Math. 104, 317-336 (1983). 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 Keywords:projective separable algebras over a commutative Banach algebra; identification of the Brauer group; identification of the set of covering algebras; finitely fibred covering spaces PDFBibTeX XMLCite \textit{I. Craw} and \textit{S. Ross}, Pac. J. Math. 104, 317--336 (1983; Zbl 0554.46022) Full Text: DOI