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Journals and Conferences
We introduce multidimensional Schur multipliers and characterise them, generalising well-known results by Grothendieck and Peller. We define a multidimensional version of the two-dimensional operator multipliers studied recently by Kissin and Shulman. The multidimensional operator multipliers are defined as elements of the minimal tensor product of several… (More)
We provide the first examples of finitely generated simple groups that are amenable (and infinite). To this end, we prove that topological full groups of minimal systems are amenable. This follows from a general existence result on invariant states for piecewise-translations of the integers. The states are obtained by constructing a suitable family of… (More)
We show that amenability of a group acting by homeomorphisms can be deduced from a certain local property of the action and recurrency of the orbital Schreier graphs. This applies to a wide class of groups, amenability of which was an open problem, as well as unifies many known examples to one general proof. In particular, this includes Grigorchuk’s group,… (More)
We give a modification of I. Klep and M. Schweighofer algebraic reformulation of Connes’ embedding problem by considering ∗-algebra of the countably generated free group. This allows to consider only quadratic polynomials in unitary generators instead of arbitrary polynomials in self-adjoint generators.
We continue the study of multidimensional operator multipliers initiated in . We introduce the notion of the symbol of an operator multiplier. We characterise completely compact operator multipliers in terms of their symbol as well as in terms of approximation by finite rank multipliers. We give sufficient conditions for the sets of compact and… (More)
We investigate certain matrices composed of mixed, second–order moments of unitaries. The unitaries are taken from C∗–algebras with moments taken with respect to traces, or, alternatively, from matrix algebras with the usual trace. These sets are of interest in light of a theorem of E. Kirchberg about Connes’ embedding problem.
• Stephen Avsec: A new example of a “good” noncommutative semigroup Abstract: Varopoulos called a semigroup “good” if its corresponding BMO space is complimented in a corresponding martingale BMO space. In this talk, we shall provide some new, noncommuatative examples of semigroups which are good derived from the classical theory. • David Blecher:… (More)
S OF TALKS AT WCOAS 2013