Whitehead Groups of Localizations and the Endomorphism Class Group
| dc.creator | Sheiham, Desmond | |
| dc.date | 2002-09-23 | |
| dc.date | 2004-04-12 | |
| dc.date.accessioned | 2026-07-07T04:51:10Z | |
| dc.date.available | 2026-07-07T04:51:10Z | |
| dc.description | We compute the Whitehead groups of the associative rings in a class which includes (twisted) formal power series rings and the augmentation localizations of group rings and polynomial rings. For any associative ring A, we obtain an invariant of a pair (P,α) where P is a finitely generated projective A-module and α:P \to P is an endomorphism. This invariant determines (P,α) up to extensions, yielding a computation of the (reduced) endomorphism class group of A. We also refine the analysis by Pajitnov and Ranicki of the Whitehead group of the Novikov ring. | |
| dc.description | 21 pages, LaTeX, with minor revisions | |
| dc.identifier | https://arxiv.org/abs/math/0209311 | |
| dc.identifier | http://arxiv.org/abs/math/0209311 | |
| dc.identifier | Journal of Algebra, Vol 270 (2003) Issue 1, 261-280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65051 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Rings and Algebras | |
| dc.subject | 18F25; 16S10; 16S34; 37C27 | |
| dc.title | Whitehead Groups of Localizations and the Endomorphism Class Group | |
| dc.type | text |