Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

• Main Authors: Capraro, Valerio (Author), Lupini, Martino (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Lecture Notes in Mathematics, 2136
• Subjects: Mathematics.; Group theory.; Operator theory.; Group Theory and Generalizations.; Operator Theory.

This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes' embedding conjecture. These notions, as well as the proofs of many results, are presented in the framework of model theory for metric structures. This point of view, rar...

Table of Contents:

• Introduction
• Sofic and hyperlinear groups
• Connes' embedding conjecture
• Conclusions.