Bost, Jean-Benoît K-théorie des produits croisés et principe d’Oka. (K-theory of crossed products and Oka principle). (French) Zbl 0588.46041 C. R. Acad. Sci., Paris, Sér. I 301, 189-192 (1985). Let \((\alpha_ t)_{t\in {\mathbb{R}}}\) be a one-parameter group of isometric automorphisms of a Banach algebra A. The algebra of the elements of A, which are holomorphic on a given neighborhood of \({\mathbb{R}}\) in \({\mathbb{C}}\) under the action of \((\alpha_ t)_{t\in {\mathbb{R}}}\) has the same K-theory as A. Cited in 1 Document MSC: 46L55 Noncommutative dynamical systems 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) 46L05 General theory of \(C^*\)-algebras Keywords:one-parameter group of isometric automorphisms of a Banach algebra; K- theory PDFBibTeX XMLCite \textit{J.-B. Bost}, C. R. Acad. Sci., Paris, Sér. I 301, 189--192 (1985; Zbl 0588.46041)