Lectures on Amenability

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  • Lectures on Amenability Book Detail

  • Author : Volker Runde
  • Release Date : 2004-10-12
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 302
  • ISBN 13 : 3540455604
  • File Size : 56,56 MB

Lectures on Amenability by Volker Runde PDF Summary

Book Description: The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text.

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Lectures on Amenability

Lectures on Amenability

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The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a cer

Amenability

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The subject of amenability has its roots in the work of Lebesgue at the turn of the century. In the 1940s, the subject began to shift from finitely additive mea

Amenability of Discrete Groups by Examples

Amenability of Discrete Groups by Examples

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The main topic of the book is amenable groups, i.e., groups on which there exist invariant finitely additive measures. It was discovered that the existence or n

Amenable Banach Algebras

Amenable Banach Algebras

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This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundation