THE K-THEORY OF P-COMPACT GROUPS

Authors
JEANNERET A OSSE A
Citation
A. Jeanneret et A. Osse, THE K-THEORY OF P-COMPACT GROUPS, Commentarii mathematici helvetici, 72(4), 1997, pp. 556-581
Citations number
31
Categorie Soggetti
Mathematics,Mathematics
Journal title
Commentarii mathematici helvetici → ACNP
ISSN journal
00102571
Volume
72
Issue
4
Year of publication
1997
Pages
556 - 581
Database
ISI
SICI code
0010-2571(1997)72:4<556:TKOPG>2.0.ZU;2-3
Abstract
In this paper, we show that the p-adic K-theory of a connected p-compa ct is the ring of invariants of the Weyl group action on the K-theory of a maximal torus. We apply this result to show that a connected fini te loop space admits a maximal torus if and only if its complex K-theo ry is lambda-isomorphic to the K-theory of some BG, where G is a compa ct connected Lie group.