Lectures on amenability

By Volker Runde. 2002

522 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2abed4d6e8253497e3fccde5a6fe66ebe771f8d0

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

A fixed point theorem for L1 spaces (2010, background): “(Finding such a new proof was Problem 19 in [14].”
On certain products of Banach algebras with applications to harmonic analysis (2007, unknown): “Amenability has well known hereditary properties [14, 4, 20].”
Connes‐Amenability And Normal, Virtual Diagonals For Measure Algebras I (2001, background): “A Banach bimodule over a dual Banach algebra is called normal if it is a dual space such that the module operations are separately u;*-continuous (see [6, 7, 8]).”
Amenability and weak amenability of the Fourier algebra (2002, background): “For the theory of amenable Banach algebra, see [Joh 1] and [Run 1].”
On character amenable Banach algebras (2009, background): “Runde [29] is a good survey of these various types of amenability.”
Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces (2013, background): “First, crossed products by isometric actions of countable discrete amenable groups on unital nondegenerately σ-finitely representable L operator algebras preserve Banach algebra amenability (in the sense of [28]).”
CHARACTER AMENABILITY AND CONTRACTIBILITY OF ABSTRACT SEGAL ALGEBRAS (2010, background): “So, if we put It follows that G is compact; see, for example, [ 12 P ROOF .”
Dual Banach algebras: Representations and injectivity (2006, background): “We refer the reader to [29] for details on amenability.”
Character contractibility of Banach algebras and homological properties of Banach modules (2011, background): “Finally, let us recall that G is called amenable if L1(G) is φ1-amenable; it is well-known that all locally compact abelian groups and compact groups are amenable, but the free group F2 on two generators is not amenable; see [R] for more details.”
Measurable Schur Multipliers and Completely Bounded Multipliers of the Fourier Algebras (2002, background): “There is also a good summary of operator spaces in [37].”
Dual Banach algebras: Connes-amenability, normal, virtual diagonals, and injectivity of the predual bimodule (2003, background): “Hence, our definition of a dual Banach -bimodule coincides with the usual one (given in [19], for instance).”