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Institut de mathématiques
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+41 32 718 28 00
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+41 32 718 28 01
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Rue Emile-Argand 11
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2000
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Neuchâtel
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CH
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Academic Institute
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- PublicationMétadonnées seulementOn Lyndon's equation in some Lambda-free groups and HNN extensions(2011-12-2)
; - PublicationMétadonnées seulementAn application of Ramanujan graphs to C*-algebra tensor productsIn a remarkable recent paper, Junge and Pisier (1995) prove that there are several distinct C*-norms on the tensor product B(H) x B(H), where B(H) is the C*-algebra of bounded linear operators on the usual Hilbert space H. To give a quantitative version of this result, they introduce the function lambda(n) = sup{\\u\\(max)/\\u\\(min): u a tensor with rank at most n in B(H) x B(H)}, and prove cn(1/8) less than or equal to lambda(n) less than or equal to n(1/2) for n > 2. In this note, we use Ramanujan graphs to get 1/2n(1/2) < lambda(n) for any n = q + 1, q a prime power. From this we deduce lim inf/pi-->infinity lambda(n)/root n greater than or equal to 1/2 root 3.
- PublicationMétadonnées seulementOn the spectrum of the sum of generators of a finitely generated group II(1993)
- PublicationMétadonnées seulementIsoperimetric control of the spectrum of a compact hypersurface(2013-10-2)
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- PublicationMétadonnées seulement
- PublicationMétadonnées seulementUniversal Groebner bases for maximal minors(2015-3-14)