Commuting homotopy limits and smash products

Details Commuting homotopy limits and smash products Commuting homotopy limits and smash products

2003-02-11

arxiv.org/abs/math/0302116v2

K-Theory, 30 (2): 137--165, 2003

Mathematics

Algebraic Topology

23 pages

Scientific paper

In general the processes of taking a homotopy inverse limit of a diagram of spectra and smashing spectra with a fixed space do not commute. In this paper we investigate under what additional assumptions these two processes do commute. In fact we deal with an equivariant generalization which involves spectra and smash products over the orbit category of a discrete group. Such a situation naturally occurs if one studies the equivariant homology theory associated to topological cyclic homology. The main theorem of this paper will play a role in the generalization of the results obtained by Boekstedt, Hsiang and Madsen about the algebraic K-theory Novikov Conjecture to the assembly map for the family of virtually cyclic subgroups.

Affiliated with

Also associated with

No associations

Rating

Commuting homotopy limits and smash products does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Commuting homotopy limits and smash products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Commuting homotopy limits and smash products will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-410356