Algebraic cycles and completions of equivariant K-theory
| dc.creator | Edidin, Dan | |
| dc.creator | Graham, William | |
| dc.date | 2007-02-22 | |
| dc.date | 2007-11-30 | |
| dc.date.accessioned | 2026-07-07T13:09:30Z | |
| dc.date.available | 2026-07-07T13:09:30Z | |
| dc.description | Let $G$ be a complex, linear algebraic group acting on an algebraic space $X$. The purpose of this paper is to prove a Riemann-Roch theorem (Theorem 5.3) which gives a description of the completion of the equivariant Grothendieck group $G_0(G,X)$ at any maximal ideal of the representation ring $R(G) \otimes \C$ in terms of equivariant cycles. The main new technique for proving this theorem is our non-abelian completion theorem (Theorem 4.3) for equivariant $K$-theory. Theorem 4.3 generalizes the classical localization theorems for diagonalizable group actions to arbitrary groups. | |
| dc.description | 35 pages, Latex2e, accepted Duke Math Journal | |
| dc.identifier | https://arxiv.org/abs/math/0702671 | |
| dc.identifier | http://arxiv.org/abs/math/0702671 | |
| dc.identifier | Duke Math. J. Volume 144, Number 3 (2008), 489-524. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228754 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 14C40, 19L47 | |
| dc.title | Algebraic cycles and completions of equivariant K-theory | |
| dc.type | text |