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arXiv · 1201.5766

Completion theorem for equivariant $K$-theory

Amalendu Krishna
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Abstract

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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Amalendu Krishna. 2012-01-27. Completion theorem for equivariant $K$-theory. https://arxiv.org/abs/1201.5766

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