Krishna, Amalendu (2010) Gersten conjecture for equivariant K-theory and applications Mathematische Annalen, 347 (1). pp. 123-133. ISSN 0025-5831
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Official URL: http://link.springer.com/article/10.1007/s00208-00...
Related URL: http://dx.doi.org/10.1007/s00208-009-0436-3
Abstract
For a reductive group scheme G over a regular semi-local ring A, we prove the Gersten conjecture for the equivariant K-theory. As a consequence, we show that if F is the field of fractions of A, then KG0(A)≅KG0(F), generalizing the analogous result for a dvr by Serre (Inst Hautes Études Sci Publ Math 34:37-52, 1968). We also show the rigidity for the K-theory with finite coefficients of a Henselian local ring in the equivariant setting. We use this rigidity theorem to compute the equivariant K-theory of algebraically closed fields.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| ID Code: | 102444 |
| Deposited On: | 09 Mar 2018 10:47 |
| Last Modified: | 09 Mar 2018 10:47 |
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