The Resource Introduction to sofic and hyperlinear groups and connes' embedding conjecture, Valerio Capraro, Martino Lupini ; with an appendix by Vladimir Pestov

Introduction to sofic and hyperlinear groups and connes' embedding conjecture, Valerio Capraro, Martino Lupini ; with an appendix by Vladimir Pestov

Label
Introduction to sofic and hyperlinear groups and connes' embedding conjecture
Title
Introduction to sofic and hyperlinear groups and connes' embedding conjecture
Statement of responsibility
Valerio Capraro, Martino Lupini ; with an appendix by Vladimir Pestov
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
HNK
http://library.link/vocab/creatorName
Capraro, Valerio
Dewey number
512/.2
Index
index present
LC call number
QA174.2
LC item number
.C37 2015eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Lupini, Martino
Series statement
Lecture notes in mathematics,
Series volume
2136
http://library.link/vocab/subjectName
  • Group theory
  • Operator theory
  • Group theory
  • Operator theory
Label
Introduction to sofic and hyperlinear groups and connes' embedding conjecture, Valerio Capraro, Martino Lupini ; with an appendix by Vladimir Pestov
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-19333-5
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Sofic and hyperlinear groups -- Connes' embedding conjecture -- Conclusions
Dimensions
unknown
Extent
1 online resource (viii, 151 pages).
Form of item
online
Isbn
9783319193335
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-19333-5
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)925444211
  • (OCoLC)ocn925444211
Label
Introduction to sofic and hyperlinear groups and connes' embedding conjecture, Valerio Capraro, Martino Lupini ; with an appendix by Vladimir Pestov
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-19333-5
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Sofic and hyperlinear groups -- Connes' embedding conjecture -- Conclusions
Dimensions
unknown
Extent
1 online resource (viii, 151 pages).
Form of item
online
Isbn
9783319193335
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-19333-5
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)925444211
  • (OCoLC)ocn925444211

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...