Amenability versus non amenability: an introduction to von Neumann algebras
type: Item
instance of: scholarly article
title: Amenability versus non amenability: an introduction to von Neumann algebras
zbMATH Open document ID: 1409.46033
DOI: 10.4171/176-1/23
author: Stefaan Vaes
publication date: 2018-11-14T00:00:00Z
full work available at URL: https://lirias.kuleuven.be/handle/123456789/658836
review text: Summary: The theory of von Neumann algebras was initiated by Murray and von Neumann and has deep connections to several areas of mathematics, in particular group theory and ergodic theory. Amenable von Neumann algebras were completely classified by Connes and Haagerup, while numerous classification theorems in the non-amenable case were obtained within Popa's deformation/rigidity theory. This survey article provides an introduction to von Neumann algebras, written for non-specialists and with the dichotomy between amenability and non-amenability as our guide. For the entire collection see [Zbl 1396.00017].
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L36
Mathematics Subject Classification ID: 46-02
zbMATH DE Number: 6979400
zbMATH Keywords: factor
zbMATH Keywords: von Neumann algebras
zbMATH Keywords: amenability
MaRDI profile type: Publication
OpenAlex ID: W3157091574
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description: scientific article; zbMATH DE number 6979400