Artículo
Andruchow, E.; Varela, A. "Geometry and the Jones projection of a state" (1996) Integral Equations and Operator Theory. 25(2):x-146
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Abstract:
Let A be a von Neumann algebra and π a faithful normal state. Then Oπ = {π o Ad(g-1) : g ∈ GA} and Uπ = {π o Ad(u*) : u ∈ UA} are homogeneous reductive spaces. If A is a C* algebra, eπ the Jones projection of the faithful state π viewed as a conditional expectation, then we prove that the similarity orbit of eπ by invertible elements of A can be imbedded in A ⊗ A in such a way that eπ is carried to 1 ⊗ 1 and the orbit of eπ to a homogeneous reductive space and an analytic submanifold of A ⊗ A.
Registro:
| Documento: | Artículo |
| Título: | Geometry and the Jones projection of a state |
| Autor: | Andruchow, E.; Varela, A. |
| Filiación: | Universidad de Buenos Aires, Dpto. de Matemática, FCEyN, Ciudad Universitaria, 1428 Buenos Aires, Argentina Universidad de San Andres, Dpto. de Economía y Matemat., Vito Dumas 284 esq. Arias, 1644 Victoria, Argentina |
| Año: | 1996 |
| Volumen: | 25 |
| Número: | 2 |
| Página de inicio: | x |
| Página de fin: | 146 |
| DOI: | http://dx.doi.org/10.1007/BF01308626 |
| Título revista: | Integral Equations and Operator Theory |
| Título revista abreviado: | Integr. Equ. Oper. Theory |
| ISSN: | 0378620X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v25_n2_px_Andruchow |
Referencias:
- Apostol, C., Fialkow, L.A., Herrero, D.A., Voiculescu, D., (1984) Approximation of Hilbert Space Operators, 2. , Pitman, Boston
- Andruchow, E., Larotonda, A., Recht, L., Stojanoff, D., (1994) Infinite Dimensional Homogeneous Reductive Spaces and Finite Index Conditional Expectations, , Preprint
- Andruchow, E., Stojanoff, D., Geometry of conditional expectations and finite index (1994) International J. Math., 5 (2), pp. 169-178
- Corach, G., Porta, H., Recht, L., The geometry of spaces of projections in C* algebras (1993) Adv. in Math., 101, pp. 59-77
- Kobayashi, S., Nomizu, K., (1969) Foundations of Differential Geometry, 2. , Interscience Publ., NY
- Larotonda, A., Recht, L., La orbita de una esperanza condicional como espacio homogéneo reductivo regular (1993) Impresiones Previas del Depto. de Mat., (76). , FCEyN-UBA
- Lorenzo, L.M., Recht, L., (1991) Infinite Dimensional Homogeneous Reductive Spaces, , Reporte 91-11, U.S.B
- Porta, H., Recht, L., (1992) Conditional Expectations and Operator Decomposition, , Preprint
- Raeburn, I., The relation between a commutative banach algebra and its maximal ideal space (1977) J. Funct. Anal., 25, pp. 366-390
- Takesaki, M., Conditional expectations in von Neumann algebras (1972) J. Funct. Anal., 9, pp. 306-321
Citas:
---------- APA ----------
Andruchow, E. & Varela, A. (1996) . Geometry and the Jones projection of a state. Integral Equations and Operator Theory, 25(2), x-146.http://dx.doi.org/10.1007/BF01308626
---------- CHICAGO ----------
Andruchow, E., Varela, A. "Geometry and the Jones projection of a state" . Integral Equations and Operator Theory 25, no. 2 (1996) : x-146.http://dx.doi.org/10.1007/BF01308626
---------- MLA ----------
Andruchow, E., Varela, A. "Geometry and the Jones projection of a state" . Integral Equations and Operator Theory, vol. 25, no. 2, 1996, pp. x-146.http://dx.doi.org/10.1007/BF01308626
---------- VANCOUVER ----------
Andruchow, E., Varela, A. Geometry and the Jones projection of a state. Integr. Equ. Oper. Theory. 1996;25(2):x-146.http://dx.doi.org/10.1007/BF01308626
