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K-theory for rickart C*-algebras
Authors:Pere Ara
Affiliation:(1) Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
Abstract:We give an explicit index map for any properly infinite closed ideal of a Rickart C*-algebra. This generalizes Olsen's work on von Neumann algebras. We use our results to compute the topological and the algebraic K1-groups of any quotient algebra of a Rickart C*-algebra.
Keywords:Rickart C*-algebra  index theory  GE-algebra  stable rank
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