Modular theory in operator algebras:
The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in oper...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2020
|
| Ausgabe: | Second edition. |
| Schriftenreihe: | Cambridge - IISc series
|
| Links: | https://doi.org/10.1017/9781108489607 |
| Zusammenfassung: | The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products. |
| Umfang: | 1 Online-Ressource (xii, 447 Seiten) |
| ISBN: | 9781108779036 |
Internformat
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| 245 | 1 | 0 | |a Modular theory in operator algebras |c Serban Valentin Strătilă |
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| 520 | |a The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products. | ||
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| spelling | Str̆atil̆a, Şerban Valentin 1943- Modular theory in operator algebras Serban Valentin Strătilă Second edition. Cambridge Cambridge University Press 2020 1 Online-Ressource (xii, 447 Seiten) txt c cr Cambridge - IISc series The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products. Erscheint auch als Druck-Ausgabe 9781108489607 |
| spellingShingle | Str̆atil̆a, Şerban Valentin 1943- Modular theory in operator algebras |
| title | Modular theory in operator algebras |
| title_auth | Modular theory in operator algebras |
| title_exact_search | Modular theory in operator algebras |
| title_full | Modular theory in operator algebras Serban Valentin Strătilă |
| title_fullStr | Modular theory in operator algebras Serban Valentin Strătilă |
| title_full_unstemmed | Modular theory in operator algebras Serban Valentin Strătilă |
| title_short | Modular theory in operator algebras |
| title_sort | modular theory in operator algebras |
| work_keys_str_mv | AT stratilaserbanvalentin modulartheoryinoperatoralgebras |