Homotopy and algebraic K-theory

Barry H. Dayton

Vol. 43 (1972), No. 2, 297–305

DOI: 10.2140/pjm.1972.43.297

Abstract

A notion of homotopy is described on a category of rings. This is used to induce a notion of equivalence on the categories of projective modules and to construct a K-theory exact sequence. The topological K-theory exact sequence is then obtained from the algebraic K₀,K₁ sequence.

Mathematical Subject Classification

Primary: 55D99

Secondary: 55B15

Milestones

Received: 10 August 1971

Published: 1 November 1972