The "fundamental theorem" for the algebraic K-theory of spaces. III. the nil-term

2007/05/07 by John R. Klein, Klein, John R., Edward Bruce Williams +1
Mathematics · #19D10 #19D35 #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:19D10 #msc:19D35

paper · pdf · doi:10.48550/arxiv.0705.0930

10 pages

arxiv created 2007/05/08 · arxiv updated 2009/12/01

Abstract

In this paper we identify the ``nil-terms'' for Waldhausen's algebraic K-theory of spaces functor as the reduced K-theory of a category of equivariant spaces equipped with a homotopically nilpotent endomorphism.

Related

• The K-theory of endomorphisms of spaces
• Segal K-theory of vector spaces with an automorphism
• Some remarks on Nil groups in algebraic K-theory
• On the universal property of Waldhausen's K-theory
• Systems of Diagram Categories and K-theory I