MARC details
| 000 -LEADER |
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| fixed length control field |
02311cam a22002655i 4500 |
| 001 - CONTROL NUMBER |
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136455 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20160118130703.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
150707s2015 nyu 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319193328 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.2 |
| Edition number |
23 |
| Item number |
C251 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Capraro, Valerio. |
| 245 10 - TITLE STATEMENT |
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| Title |
Introduction to sofic and hyperlinear groups and connes' embedding conjecture / |
| Statement of responsibility, etc |
Valerio Capraro and Martino Lupini with and appendix by Vladimir Pestov. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Switzerland : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2015. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
viii, 151 p. ; |
| Dimensions |
24 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Lecture notes in mathematics ; |
| Volume number/sequential designation |
2136. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Introduction--<br/>2. Sofic and Hyperlinear Groups--<br/>3. Connes' Embedding Conjecture--<br/>Conclusions--<br/>Bibliography--<br/>Index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Group theory. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Lupini, Martino, |
| Relator term |
author |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Pestov, Vladimir, |
| Relator term |
appendix creator |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
