K-theory for rickart C*-algebras

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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. © 1991 Kluwer Academic Publishers.
Original languageEnglish
Pages (from-to)281-292
JournalK-Theory
Volume5
Issue number3
DOIs
Publication statusPublished - 1 May 1991

Keywords

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

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