The K-theory of p-compact groups |
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| Authors: | A Jeanneret A Osse |
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| Institution: | (1) Mathematisches Institut, Sidlerstrasse 5, CH-3012 Bern, Switzerland, e-mail: jeanner@math-stat.unibe.ch, CH;(2) Institut de Mathématiques, Rue Emile Argand 11, CH-2007 Neuchatel, Switzerland, e-mail: Akimou.Osse@maths.unine.ch, CH |
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| Abstract: | In this paper, we show that the p-adic K-theory of a connected p-compact 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 finite loop space admits a maximal torus if and only if its complex K-theory is -isomorphic to the K-theory of some BG, where G is a compact connected Lie group.
Received: November 9, 1996 |
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| Keywords: | , Finite loop space, p -compact group, Lie group, K-theory, transfer, |
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