Completion theorem for equivariant $K$-theory

Details Completion theorem for equivariant $K$-theory Completion theorem for equivariant $K$-theory

2012-01-27

arxiv.org/abs/1201.5766v1

Mathematics

Algebraic Geometry

38 pages

Scientific paper

In this paper, we study the algebraic analogue of the topological
Atiyah-Segal completion theorem. We verify this completion theorem for the
algebraic equivariant $K$-theory of smooth projective schemes. We also show
that the completion theorem fails in general for smooth non-projective schemes.

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