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Completion theorem for equivariant $K$-theory

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.

preprint2015arXivOpen access
Amalendu Krishna
math.AGmath.KT
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Amalendu Krishna

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