The Whitehead group of the Novikov ring
| dc.creator | Pajitnov, A. V. | |
| dc.creator | Ranicki, A. A. | |
| dc.date | 2000-12-05 | |
| dc.date.accessioned | 2026-07-07T04:39:02Z | |
| dc.date.available | 2026-07-07T04:39:02Z | |
| dc.description | The Bass-Heller-Swan-Farrell-Hsiang-Siebenmann decomposition of the Whitehead group $K_1(A_ρ[z,z^{-1}])$ of a twisted Laurent polynomial extension $A_ρ[z,z^{-1}]$ of a ring $A$ is generalized to a decomposition of the Whitehead group $K_1(A_ρ((z)))$ of a twisted Novikov ring of power series $A_ρ((z))=A_ρ[[z]][z^{-1}]$. The decomposition involves a summand $W_1(A,ρ)$ which is an abelian quotient of the multiplicative group $W(A,ρ)$ of Witt vectors $1+a_1z+a_2z^2+... \in A_ρ[[z]]$. An example is constructed to show that in general the natural surjection $W(A,ρ)^{ab} \to W_1(A,ρ)$ is not an isomorphism. | |
| dc.description | Latex file using Diagrams.tex, 36 pages. To appear in "K-theory" | |
| dc.identifier | https://arxiv.org/abs/math/0012031 | |
| dc.identifier | http://arxiv.org/abs/math/0012031 | |
| dc.identifier | K-Theory 21 (2000) 325-365 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60509 | |
| dc.subject | Algebraic Topology | |
| dc.title | The Whitehead group of the Novikov ring | |
| dc.type | text |