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Ternary Weakly Amenable C*-algebras and JB*-triples
C*-algebras and JB*-triples Operator Algebras
2012/6/4
A well known result of Haagerup from 1983 states that every C*-algebra A is weakly amenable, that is, every (associative) derivation from A into its dual is inner. A Banach algebra B is said to be ter...
Amenable, transitive and faithful actions of groups acting on trees
Amenable transitive faithful actions groups trees
2012/2/29
We study under which condition an amalgamated free product or an HNN-extension over a finite subgroup admits an amenable, transitive and faithful action on an infinite countable set. We show that such...
On commutative, operator amenable subalgebras of finite von Neumann algebras
On commutative operator amenable subalgebras finite von Neumann algebras
2011/1/23
An open question, raised independently by several authors, asks if a closed amenable subalgebra of B(H) must be similar to an amenable C-algebra; the question remains open
even for singly-generated ...
Examples of groups which are not weakly amenable
weak amenability infinite amenable normal subgroup
2010/12/1
We prove that weak amenability of a locally compact group imposes a strong condition on its amenable closed normal subgroups. This extends non weak amenability results of Haagerup (1988) and Ozawa–Pop...
Nonlinear sigma models with non-compact target space and non-amen-able symmetry group were introduced long ago in the study of disordered electron systems. They also occur in dimensionally reduced qua...
A non-weakly amenable Banach algebra whose bidual is weakly amenable
Banach algebra weakly amenable
2010/11/1
We answer, in the negative, the question: Does a Banach algebra inherit weak amenability from its bidual?, which was open since 1996
Nonlinear sigma models with non-compact target space and non-amen-able symmetry group were introduced long ago in the study of disor-dered electron systems. They also occur in dimensionally reduced qu...
Nonlinear sigma models with non-compact target space and non-amen-able symmetry group were introduced long ago in the study of disor-dered electron systems.
Nonlinear sigma models with non-compact target space and non-amen-able symmetry group were introduced long ago in the study of disordered electron systems. They also occur in dimensionally reduced qu...
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
Two-Dimensional Quantum Model Amenable Separation Variables
2010/10/11
The supersymmetric intertwining relations with second order supercharges allow to investigate new two-dimensional model which is not amenable to standard separation of variables. The corresponding po...
Hyers-Ulam Stability of the Generalized Quadratic Functional Equation in Amenable Semigroup
Hyers-Ulam stability Quadratic functional equation Amenable semigroup Morphism of semigroup
2008/7/1
Hyers-Ulam Stability of the Generalized Quadratic Functional Equation in Amenable Semigroup.