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24 April 2024

» arxiv » 0805.4817

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Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor
H. Bercovici ; B. Collins ; K. Dykema ; W. S. Li ; D. Timotin ;
Date:	30 May 2008
Abstract:	It is known that the eigenvalues of selfadjoint elements a,b,c with a+b+c=0 in the factor R^omega (ultrapower of the hyperfinite II1 factor) are characterized by a system of inequalities analogous to the classical Horn inequalities of linear algebra. We prove that these inequalities are in fact true for elements of an arbitrary finite factor. A matricial (’complete’) form of this result is equivalent to an embedding question formulated by Connes.
Source:	arXiv, 0805.4817
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