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A BANACH SPACE WHOSE OPERATOR ALGEBRA HAS K0-GROUP ℚ

Published online by Cambridge University Press:  29 April 2002

ANDRÁS ZSÁK
ANDRÁS ZSÁK
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. a.zsak@dpmms.cam.ac.uk.
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Abstract

We construct a Banach space X whose algebra of bounded linear operators has K0-group the additive group of rational numbers. We achieve this using a Gowers-Maurey space.

2000 Mathematical Subject Classification: 20F36, 55P35, 55Q05, 55Q40, 55U10

Keywords

simplicial groupbraid groupbraided simplicial groupArtin representationhomotopy groups
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 84 , Issue 3 , May 2002 , pp. 747 - 768
Copyright
2002 London Mathematical Society

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