The discrete module category for the ring of K-theory operations

Details The discrete module category for the ring of K-theory operations The discrete module category for the ring of K-theory operations

2006-03-02

arxiv.org/abs/math/0603045v1

Mathematics

Algebraic Topology

19 pages

Scientific paper

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.

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