Scholarlink

<p>We prove that for the action of a finite constant group scheme, equivariant algebraic <i>K</i>-theory is represented by a colimit of Grassmannians in the equivariant motivic homotopy category. Using this result we show that the set of endomorphisms of the equivariant motivic space defined by <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40062_2025_380_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="69" /> </InlineMediaObject> <EquationSource Format="TEX">\(K_0(G,-)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>K</mi> <mn>0</mn> </msub> <mrow> <mo stretchy="false">(</mo> <mi>G</mi> <mo>,</mo> <mo>-</mo> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> coincides with the set of endomorphisms of infinite Grassmannians in the equivariant motivic homotopy category by explicitly computing the equivariant <i>K</i>-theory of Grassmannians.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Endomorphisms of equivariant algebraic K-theory

  • 期刊论文

  • 发表日期：

    2025年8月26日

查看全文
  • K. Arun Kumar,
  • Girja S. Tripathi

摘要

We prove that for the action of a finite constant group scheme, equivariant algebraic K-theory is represented by a colimit of Grassmannians in the equivariant motivic homotopy category. Using this result we show that the set of endomorphisms of the equivariant motivic space defined by \(K_0(G,-)\) K 0 ( G , - ) coincides with the set of endomorphisms of infinite Grassmannians in the equivariant motivic homotopy category by explicitly computing the equivariant K-theory of Grassmannians.