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By removing the requirement of finite generation, unitality, and having no zero-divisor, we can greatly expand the scope of examples subject to the study of amenability.
Fogelson's face was a mask of amenability.
New notions of amenability and contractability are introduced.
There is a weaker notion of amenability introduced by D. Voiculescu.
Property A is a non-equivariant analogue of amenability defined for metric spaces.
In this subsection we complete the analysis of amenability in relation to proper amenability in the metric space context.
With the help of the equivalent characterizations of amenability in both contexts, we obtain the satisfactory result that (proper) amenability of the metric space is equivalent to (proper) algebraic amenability of the corresponding translation algebra.
In the context of algebras we also study the relation of amenability with proper infiniteness.
We start by recalling the definition of amenability for locally finite metric spaces.
2, we begin by addressing the notion of amenability for locally finite extended metric spaces.
In this article we analyze the notions of amenability and paradoxical decomposition from an algebraic perspective.
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