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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

8 votes
Accepted

What is the relationship between $BU$ and $\textrm{Fred}_0(H)$?

See a paper by G. Segal, "K-homology theory and algebraic K-theory" (I'm sure it's not the original source, though). There is a homotopy equivalence between $BU\times \Bbb Z$ and the space $Fred$ of F …
Anton Fetisov's user avatar
11 votes
Accepted

Topology of categories, very basic facts surrounding Quillen's Higher Algebraic K-Theory I

N.B.: I have reread your question and it occured to me that you a probably asking something entirely different. However since I'm unclear what exactly is your question and since I don't want to delete …
Anton Fetisov's user avatar