Localization theorem in equivariant algebraic K-theory

Research output: Contribution to journalArticle

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

Fingerprint

Algebraic K-theory
Group Scheme
Equivariant
Coherent Sheaf
K-group
Trace Formula
Theorem
Isomorphic
Fixed point

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Localization theorem in equivariant algebraic K-theory. / Takeda, Yuichiro.

In: Journal of Pure and Applied Algebra, Vol. 96, No. 1, 16.09.1994, p. 73-80.

Research output: Contribution to journalArticle

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