K-theory for rickart C*-algebras |
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Authors: | Pere Ara |
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Affiliation: | (1) Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain |
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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. |
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Keywords: | Rickart C*-algebra index theory GE-algebra stable rank |
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