Displaying similar documents to “ ν 1 -periodic homotopy groups of the Dwyer-Wilkerson space.”

On Bott-periodic algebraic K-theory.

Felipe Zaldívar (1994)

Publicacions Matemàtiques

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Let K*(A;Z/ln) denote the mod-ln algebraic K-theory of a Z[1/l]-algebra A. Snaith ([14], [15], [16]) has studied Bott-periodic algebraic theory Ki(A;Z/ln)[1/βn], a localized version of K*(A;Z/ln) obtained by inverting a Bott element βn . For l an odd prime, Snaith has given a...

Algebraic K-theory of rings from a topological viewpoint.

Dominique Arlettaz (2000)

Publicacions Matemàtiques

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Because of its strong interaction with almost every part of pure mathematics, algebraic K-theory has had a spectacular development since its origin in the late fifties. The objective of this paper is to provide the basic definitions of the algebraic K-theory of rings and an overview of the main classical theorems. Since the algebraic K-groups of a ring R are the homotopy groups of a topological space associated with the general linear group over R, it is obvious that many general results...