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A COUNTEREXAMPLE TO A CONJECTURE OF AKEMANN AND ANDERSON

Published online by Cambridge University Press:  24 March 2003

NIK WEAVER
NIK WEAVER
Affiliation:
Mathematics Department, Washington University, St. Louis, MO 63130, USAnweaver@math.wustl.edu
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Abstract

Akemann and Anderson made a conjecture about ‘paving’ projections in finite-dimensional matrix algebras which, if true, would settle the well-known Kadison–Singer problem. Their conjecture is falsified in this paper by an explicit sequence of counterexamples.

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Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 65 - 71
Copyright
© The London Mathematical Society 2003

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Footnotes

Partially supported by NSF grant DMS-0070634