Computation of some examples of Brown's spectral measure in free probability

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We use free probability techniques for computing spectra and Brown measures of some non hermitian operators in finite von Neumann algebras. Examples include u_n+u_oo where u_n and u_oo are the generators of Z_n and Z respectively, in the free product group Z_n*Z, or elliptic elements, of the form S_a+iS_b where S_a and S_b are free semi-circular elements of variance a and b. We give some pictorial evidence for connections with spectra of random matrices.
LaTeX2e, 27 pages, 9 EPS figures

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Operator Algebras, Spectral Theory, 22D25; 46L5

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http://salesiana.dossiersoluciones.com/handle/123456789/79703

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912242
 http://arxiv.org/abs/math/9912242
 Colloq. Math. 90 (2001), no. 2, 181--211

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arXiv