Limit laws for Random matrices and free products.
Dan Voiculescu (1991)
Inventiones mathematicae
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Dan Voiculescu (1991)
Inventiones mathematicae
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Narutaka Ozawa (2010)
Banach Center Publications
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Let M be a finite von Neumann algebra acting on the standard Hilbert space L²(M). We look at the space of those bounded operators on L²(M) that are compact as operators from M into L²(M). The case where M is the free group factor is particularly interesting.
Simen Gaure (1995)
Mathematica Scandinavica
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Kenneth J. Dykema (1994)
Journal für die reine und angewandte Mathematik
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R.P. Osborne, H. Zieschang (1981)
Inventiones mathematicae
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Hanna Neumann, I.M.S. Dey (1970)
Mathematische Zeitschrift
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Alice R. Trenholme (1988)
Mathematische Zeitschrift
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R.B.J.T. Allenby, R.J. Gregorac (1971)
Mathematische Zeitschrift
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R. Z. Buzyakova, A. Chigogidze (2011)
Fundamenta Mathematicae
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Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples
Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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Fannes, Mark, Petz, Dénes (2002)
International Journal of Mathematics and Mathematical Sciences
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Janusz Wysoczański (2006)
Banach Center Publications
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We show that the von Neumann algebras generated by an infinite number of t-deformed free gaussian operators are factors of type .
Dimitri Shlyakhtenko (1998)
Banach Center Publications
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