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The completion problem for equivariant K-theory

  • Amalendu Krishna EMAIL logo
Veröffentlicht/Copyright: 15. Oktober 2015

Abstract

In this paper, we study the Atiyah–Segal completion problem for the equivariant algebraic K-theory. We show that this completion problem has a positive solution for the action of connected groups on smooth projective schemes. In contrast, we show that this problem has a negative solution for non-projective smooth schemes, even if the action has only finite stabilizers.

Acknowledgements

The author would like to thank the anonymous referee for numerous encouraging comments and suggestions which were very helpful in improving the contents of this paper.

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Received: 2015-05-23
Published Online: 2015-10-15
Published in Print: 2018-07-01

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