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A counterexample to a conjecture of Akemann and Anderson

Nik Weaver

math.OAarXiv:math/0105183

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. We falsify their conjecture by an explicit seqence of counterexamples.

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