6533b837fe1ef96bd12a295b
RESEARCH PRODUCT
K-theory of function rings
Thomas Fischersubject
CombinatoricsRing (mathematics)Algebra and Number TheoryDiscrete spaceGeneral topologyTopological groupTopological spaceSpace (mathematics)K-theoryTopological vector spaceMathematicsdescription
AbstractThe ring R of continuous functions on a compact topological space Xwith values in R or C is considered. It is shown that the algebraic K-theory of such rings with coefficients in ZkZ, k any positive integer, agrees with the topological K-theory of the underlying space X with the same coefficient rings. The proof is based on the result that the map from Rδ (R with discrete topology) to R (R with compact-open topology) induces a natural isomorphism between the homologies with coefficients in ZkZ of the classifying spaces of the respective infinite general linear groups. Some remarks on the situation with X not compact are added.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-12-01 | Journal of Pure and Applied Algebra |