Localization theorem in equivariant algebraic K-theory

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Abstract

In this paper, it is shown that the localized equivariant algebraic K-group of a scheme with a smooth diagonalizable group scheme action is isomorphic to that of its fixed point scheme. By using it, the trace formula for a coherent sheaf with a smooth diagonalizable group scheme action is proved.

Original languageEnglish
Pages (from-to)73-80
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume96
Issue number1
DOIs
Publication statusPublished - Sep 16 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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