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Jiang and Su and (independently) Elliott discovered a simple, nuclear, infinite-dimensional C *-algebra ℒ̵ having the same Elliott invariant as the complex numbers. For a nuclear C *-algebra A with weakly unperforated K * -group the Elliott invariant of A ⊗ ℒ̵ is isomorphic to that of A ....
We show that, for 0 < α < 1, the capacity associated to the signed vector valued Riesz kernel in ℝ n is comparable to the Riesz capacity of non-linear potential theory.
We give some necessary and sufficient conditions of when the product of two Hankel operators is a compact perturbation of a Hankel operator on the Hardy space.
We compute the Chen-Ruan orbifold cohomology ring of the Batyrev mirror of a smooth quintic hypersurface in ℙ 4 . We identify the obstruction bundle for this example by using the Riemann bilinear relations for periods. We expect that our method can be used to compute the Chen-Ruan ring for...
To any polynomial f ℂ x 1 , . . . , x n \ℂ one can associate the zeta function Z Hod ( f , s ) on the level of Hodge polynomials. This function is a specialization of the well-known motivic zeta function. For n = 2 Veys gave a complete geometric determination of the poles of Z Hod ( f , s )....
We prove a principal bundle analog of a theorem on vector bundles that says that a vector bundle on a projective variety is isomorphic to a unique direct sum of indecomposable vector bundles (unique up to a permutation of the direct summands).
An action of a locally compact group or quantum group on a factor is said to be strictly outer when the relative commutant of the factor in the crossed product is trivial. We show that all locally compact quantum groups can act strictly outerly on a free Araki-Woods factor and that all locally...
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