K-theory for rickart C*-algebras

Pere Ara

doi:10.1007/BF00533590

K-theory for rickart C^*-algebras

Pere Ara

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

6 Citations (Scopus)

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. © 1991 Kluwer Academic Publishers.

Original language	English
Pages (from-to)	281-292
Journal	K-Theory
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/BF00533590
Publication status	Published - 1 May 1991

Keywords

GE-algebra
index theory
Rickart C -algebra *
stable rank

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10.1007/BF00533590

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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. {\textcopyright} 1991 Kluwer Academic Publishers.",

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AB - 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. © 1991 Kluwer Academic Publishers.

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KW - Rickart C -algebra

KW - stable rank

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