1.

Record Nr.

UNISALENTO991003265709707536

Autore

Capraro, Valerio

Titolo

Introduction to sofic and hyperlinear groups and connes' embedding conjecture [e-book] / Valerio Capraro, Martino Lupini ; with an appendix by Vladimir Pestov

Pubbl/distr/stampa

Cham [Switzerland] : Springer, 2015

ISBN

9783319193335

Descrizione fisica

1 online resource (viii, 151 pages)

Collana

Lecture Notes in Mathematics, 1617-9692 ; 2136

Classificazione

AMS 20F65

AMS 03C20

AMS 03C65

AMS 37A15

LC QA174.2.C37

Altri autori (Persone)

Lupini, Martinoauthor

Disciplina

512

Soggetti

Group theory

Operator theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index

Nota di contenuto

Introduction ; Sofic and hyperlinear groups ; Connes' embedding conjecture ; Conclusions

Sommario/riassunto

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

2.

Record Nr.

UNISALENTO991002703819707536

Titolo

Studi storico-linguistici in onore di Francesco Ribezzo / a cura di Ciro Santoro e Cesare Marangio

Pubbl/distr/stampa

Mesagne : Museo civico archeologico Ugo Granafei, 1978

Descrizione fisica

420 p., 38 p. di tav. : ill. ; 24 cm

Collana

Testi e monumenti del Museo civico archeologico Ugo Granafei di Mesagne ; 2

Altri autori (Persone)

Santoro, Ciro

Marangio, Cesare

Disciplina

400

Lingua di pubblicazione

Italiano

Formato

Materiale a stampa

Livello bibliografico

Monografia



3.

Record Nr.

UNISALENTO991002214289707536

Autore

Fulbertus <vescovo di Chartres>

Titolo

S. Fulberti Carnotensis episcopi Opera omnia : accedunt Guidonis Aretini musica ... necnon Joannis XIX, Benedicti IX ... epistolae et diplomata ; intermiscentur Aribonis Moguntini ... scripta vel scriptorum fragmenta quae exstant / accurante J.-P. Migne

Pubbl/distr/stampa

Turnholti : Typographi Brepols editores pontificii, dep. leg. 1969

Descrizione fisica

1468 col. ; 28 cm

Collana

Patrologiae cursus completus omnium SS. patrum doctorum scriptorumque ecclesiasticorum sive Latinorum sive Graecorum. Patrologiae latinae ; 141

Altri autori (Persone)

Guido : Aretinus

Migne, Jacques Paulauthor

Disciplina

270.0922

Soggetti

Chiesa - Storia - Sec. 10. - Fonti

Cristianesimo - Storia - Sec. 10. - Fonti

Lingua di pubblicazione

Latino

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

In testa al front.: Saeculum XI.