K2 and K3 of the circle |
| |
Authors: | Leslie G. Roberts Charles A. Weibel |
| |
Affiliation: | Queen''s University, Kingston, Ontario K7L 3N6, Canada;Department of Mathematics, Rutgers University, New Brunswick, NY 08903, USA |
| |
Abstract: | Let k be , or , and set . We compute K2(A) and K3(A). Our method is to construct a map and compare this to a localization sequence.We give three applications. We show that ? accounts for the primitive elements in K2(A), and compare our results to computations of Bloch [1] for group schemes. Secondly, we consider the problem of basepoint independence, and indicate the interplay of geometry upon the K-theory of affine schemes obtained by glueing points of Spec(A). Third, we can iterate the construction to compute the K-theory of the torus ring A ?kA. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|