The "fundamental theorem" for the algebraic K-theory of spaces: II - The canonical involution

  • Huttemann T
  • Klein J
  • Vogell W
 et al. 
  • 4


    Mendeley users who have this article in their library.
  • 4


    Citations of this article.


Let X → A(X) denote the algebraic K-theory of spaces functor. In the first paper of this series, we showed A(X × S1) decomposes into a product of a copy of A(X), a delooped copy of A(X) and two homeomorphic nil terms. The primary goal of this paper is to determine how the "canonical involution" acts on this splitting. A consequence of the main result is that the involution acts so as to transpose the nil terms. From a technical point of view, however, our purpose will be to give another description of the involution on A(X) which arises as a (suitably modified) script capital L sign.-construction. The main result is proved using this alternative discription. © 2002 Elsevier Science B.V. All rights reserved.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free