The K-theory of semilinear endomorphisms
β Scribed by Daniel R Grayson
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 667 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper gives the following description of K of the endomorphism ring of a 0 finitely generated projective module. THEOREM. Let T be a ring and P a finitely generated, projecti¨e T-module. Let I Ž . Ž . be the trace ideal of P. Then K End P is isomorphic to a subgroup of K T, I . If, n phic to
Using Thomason and Trobaugh's localization theorem for the K-theory of a scheme, we study the K-theory of the category of vector bundles with endomorphisms over a scheme. The results generalize those of Grayson when the scheme is affine. We also give an example showing that the MayerαVietoris sequen