Talk:Equivariant algebraic K-theory

Latest comment: 6 years ago by TakuyaMurata in topic Why only algebraic?

Why only algebraic?

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Unlike the general notion of a K-theory, which was introduced in an algebraic context by Grothendieck, the equivariant version of K-theory, I believe, was first studied by Segal in the topological context. The equivariant topological K-theory seems to be a much more active field. It's a serious topic of interest for representation theorists (Nakajima's quiver varieties, etc). Also, a default social convention seems to be that 'equivariant K-theory' means specifically the topological version. That's my impression from being a graduate student in a different field, and also see e.g. [1], where no one even asked which kind of equivariant K-theory the poster wanted to learn. Dpirozhkov (talk) 04:55, 6 December 2017 (UTC)Reply

I completely agree; the article was misnamed. I have thus added "algebraic". Someone (maybe you??) should start the equivariant topological K-theory. I'm also turning equivariant K-theory to a disambig page. -- Taku (talk) 05:44, 6 December 2017 (UTC)Reply