The discrete module category for the ring of K-theory operations
Algebraic Topology
2007-05-23 v1 K-Theory and Homology
Abstract
We study the category of discrete modules over the ring of degree zero stable operations in p-local complex K-theory. We show that the p-local K-homology of any space or spectrum is such a module, and that this category is isomorphic to a category defined by Bousfield and used in his work on the K-local stable homotopy category (Amer. J. Math., 1985). We also provide an alternative characterisation of discrete modules as locally finitely generated modules.
Cite
@article{arxiv.math/0603045,
title = {The discrete module category for the ring of K-theory operations},
author = {Francis Clarke and Martin Crossley and Sarah Whitehouse},
journal= {arXiv preprint arXiv:math/0603045},
year = {2007}
}
Comments
19 pages