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Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture 31 Jul 2013 | 06:32 pm
We address special cases of a question of Eisenbud on the ideals of secant varieties of Veronese re-embeddings of arbitrary varieties. Eisenbud's question generalizes a conjecture of Eisenbud, Koh and...
Some analysis of amalgamated free products of von Neumann algebras in the non-tracial setting 31 Jul 2013 | 06:32 pm
Several techniques together with some partial answers are given to the questions of factoriality, type classification and fullness for amalgamated free product von Neumann algebras.
Norm-controlled inversion in smooth Banach algebras, I 31 Jul 2013 | 06:32 pm
Every differential subalgebra of a unital C*-algebra is spectrally invariant. We derive a quantitative version of this well-known fact and show that a minimal amount of smoothness, as given by a diffe...
Zassenhaus Conjecture for cyclic-by-abelian groups 31 Jul 2013 | 06:32 pm
Zassenhaus Conjecture for torsion units states that every augmentation 1 torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units of the rational group ...
Abelian quotients of subgroups of the mapping class group and higher Prym representations 31 Jul 2013 | 06:32 pm
A well-known conjecture asserts that the mapping class group of a surface (possibly with punctures/boundary) does not virtually surject onto Z if the genus of the surface is large. We prove that if th...
McKay-type correspondence for AS-regular algebras 31 Jul 2013 | 06:32 pm
The classical McKay correspondence claims that the minimal resolution of Spec k[x, y]G where G ≤ SL(2, k) is a finite subgroup naturally acting on k[x, y] is derived equivalent to the preprojective al...
Orientably regular maps with Euler characteristic divisible by few primes 31 Jul 2013 | 06:32 pm
Let G be a (2, m, n)-group and let x be the number of distinct primes dividing , the Euler characteristic of G. We prove first that, apart from a finite number of known exceptions, a non-abelian simpl...
Noncommutative Fitting invariants and improved annihilation results 31 Jul 2013 | 06:32 pm
To each finitely presented module M over a commutative ring R, one can associate an R-ideal FitR(M) which is called the (zeroth) Fitting ideal of M over R, and which is always contained in the R-annih...
Picard groups of certain stably projectionless C*-algebras 31 Jul 2013 | 06:32 pm
We compute Picard groups of several nuclear and non-nuclear, simple, stably projectionless C*-algebras. In particular, the Picard group of the Razak–Jacelon algebra W2 is isomorphic to a semidirect pr...
The stochastic Weiss conjecture for bounded analytic semigroups 31 Jul 2013 | 06:32 pm
Suppose –A admits a bounded H-calculus of angle less than /2 on a Banach space E which has Pisier's property (α), let B be a bounded linear operator from a Hilbert space H into the extrapolation space...
