Atiyah–Segal completion theorem
id:
atiyah-segal-completion-theorem-233-15985453
title:
Atiyah–Segal completion theorem
text:
The Atiyah–Segal completion theorem is a theorem in mathematics about equivariant K-theory in homotopy theory. Let G be a compact Lie group and let X be a G-CW-complex. The theorem then states that the projection map induces an isomorphism of prorings Here, the induced map has as domain the completion of the G-equivariant K-theory of X with respect to I, where I denotes the augmentation ideal of the representation ring of G. In the special case of X being a point, the theorem specializes to give
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical result about equivariant K-theory in homotopy theory
original url:
https://en.wikipedia.org/wiki/Atiyah%E2%80%93Segal_completion_theorem
date created:
date modified:
2023-08-19T06:22:26Z
main entity:
{"identifier":"Q4815879","url":"https://www.wikidata.org/entity/Q4815879"}
image:
fields total:
13
integrity:
14