TY  - JOUR
AB  - Let X --> A(X) denote the algebraic K-theory of spaces functor. In the first paper of this series, we showed A(X x S-1) 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) P.-construction. The main result is proved using this alternative discription. (C) 2002 Elsevier Science B.V. All rights reserved.
DA  - 2002
DO  - 10.1016/S0022-4049(01)00067-6
LA  - eng
IS  - 1
M2  - 53
PY  - 2002
SN  - 0022-4049
SP  - 53-82
T2  - Journal of Pure and Applied Algebra
TI  - The "fundamental theorem" for the algebraic K-theory of spaces. II: The canonical involution
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-17853119
Y2  - 2024-11-22T04:01:14
ER  -