Artículo
Sasyk, R. "A note on the classification of gamma factors" (2015) Revista de la Union Matematica Argentina. 57(1):1-7
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Abstract:
One of the earliest invariants introduced in the study of finite von Neumann algebras is the property Gamma of Murray and von Neumann. The set of separable II1 factors can be split in two disjoint subsets: those that have the property Gamma and those that do not have it, called full factors by Connes. In this note we prove that it is not possible to classify separable II1 factors satisfying the property Gamma up to isomorphism by a Borel measurable assignment of countable structures as invariants. We also show that the same holds true for the full II1 factors.
Registro:
| Documento: | Artículo |
| Título: | A note on the classification of gamma factors |
| Autor: | Sasyk, R. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina Instituto Argentino de Matemática - CONICET, Saavedra 15, Piso 3, Buenos Aires, 1083, Argentina |
| Palabras clave: | Descriptive set theory; Gamma factors; von Neumann algebras |
| Año: | 2015 |
| Volumen: | 57 |
| Número: | 1 |
| Página de inicio: | 1 |
| Página de fin: | 7 |
| Título revista: | Revista de la Union Matematica Argentina |
| Título revista abreviado: | Rev. Union Mat. Argent. |
| ISSN: | 00416932 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v57_n1_p1_Sasyk |
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Citas:
---------- APA ----------
(2015) . A note on the classification of gamma factors. Revista de la Union Matematica Argentina, 57(1), 1-7.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v57_n1_p1_Sasyk [ ]
---------- CHICAGO ----------
Sasyk, R. "A note on the classification of gamma factors" . Revista de la Union Matematica Argentina 57, no. 1 (2015) : 1-7.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v57_n1_p1_Sasyk [ ]
---------- MLA ----------
Sasyk, R. "A note on the classification of gamma factors" . Revista de la Union Matematica Argentina, vol. 57, no. 1, 2015, pp. 1-7.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v57_n1_p1_Sasyk [ ]
---------- VANCOUVER ----------
Sasyk, R. A note on the classification of gamma factors. Rev. Union Mat. Argent. 2015;57(1):1-7.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v57_n1_p1_Sasyk [ ]
