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 |
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Pages (from-to) | 281-292 |
Journal | K-Theory |
Volume | 5 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 May 1991 |
Keywords
- GE-algebra
- index theory
- Rickart C -algebra *
- stable rank