Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

Download Now

Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture
Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture (Lecture Notes in Mathematics, Book 2136) by Valerio Capraro and Martino Lupini
English | 2015 | ISBN: 3319193325 | 151 pages | PDF | 1 MB

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, rarely explicitly adopted in the literature, clarifies the ideas therein, and provides additional tools to attack open problems.
Sofic and hyperlinear groups are countable discrete groups that can be suitably approximated by finite symmetric groups and groups of unitary matrices. These deep and fruitful notions, introduced by Gromov and Radulescu, respectively, in the late 1990s, stimulated an impressive amount of research in the last 15 years, touching several seemingly distant areas of mathematics including geometric group theory, operator algebras, dynamical systems, graph theory, and quantum information theory. Several long-standing conjectures, still open for arbitrary groups, are now settled for sofic or hyperlinear groups.
The presentation is self-contained and accessible to anyone with a graduate-level mathematical background. In particular, no specific knowledge of logic or model theory is required. The monograph also contains many exercises, to help familiarize the reader with the topics present.



.:DOWNLOAD LINKS:.
Buy Premium From My Download Links To Get Resumable Support, Max Speed & Support Me


All above links are interchangable. No password


Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

Direct Download

Tags: Introduction, Hyperlinear, Groups, Connes, Embedding, Conjecture

Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture Download via Hotfile Rapidshare Fileserve Megaupload & FileSonic, Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture free torrent downloads included crack, serial, keygen.


Attention!Information

Members of Guest cannot leave comments.