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Freeness of Linear and Quadratic Forms in von Neumann Algebras
Free random variables free convolutions a characterization of the semicircle law
2011/2/28
We characterize the semicircular distribution by freeness of linear and qua-dratic forms in noncommutative random variables from tracial W-probability spaces with relaxed moment conditions.
These informal notes are concerned with spaces of functions in various situations, including continuous functions on topological spaces, holomorphic functions of one or more complex variables, and so ...
Gröbner-Shirshov Bases and Hilbert Series of Free Dendriform Algebras
Grö bner-Shirshov Bases Hilbert Series of Free Dendriform Algebras
2010/11/26
The universal theta divisor over the moduli space Ag of principally polarized abelian varieties of dimension g, is the divisor g inside the universal abelian variety Xg over Ag, characterized by two ...
Beurling-Fourier algebras, operator amenability and Arens regularity
locally compact groups Beurling algebras Beurling-Fourier algebras operator amenability operator weak amenability
2010/11/26
We introduce the class of Beurling-Fourier algebras on locally compact groups and show that they are non-commutative analogs of classical Beurling algebras.
Blocks of restricted rational Cherednik algebras for $G(m,d,n)$
Blocks restricted rational Cherednik algebras
2010/12/8
We study the Dunkl-Opdam subalgebra of the rational Cherednik algebra for wreath products at t = 0, and use this to describe the block decomposition of restricted rational Cherednik
algebras for G(m,...
Hopf algebras and polynomial identities
Polynomial identity Hopf algebra comodule localization
2010/12/8
This is a survey of results obtained jointly with E. Aljadeff and published in [2]. We explain how to set up a theory of polynomial identities for comodule algebras over a Hopf algebra, and concentrat...
Extreme Points of Certain Subsets of Hermitian Elements in Banach Algebras
Extreme points hermitian elements
2010/2/26
We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball ...
A Class of Banach Algebras Whose Duals Have the Schur Property
Schur property Segal algebras almost periodic functionals
2010/3/3
Call a commutative Banach algebra A a g-algebra if it contains a bounded group G such that \overline{aco(G)} contains a multiple of the unit ball of A. In this paper, first by exhibiting several concr...