Artículo
Yuhjtman, S.A. "The quasi-state space of a C*-algebra is a topological quotient of the representation space" (2015) Revista de la Union Matematica Argentina. 56(2):57-65
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Abstract:
We show that for any C*-algebra A, a sufficiently large Hilbert space H and a unit vector ξ ∈ H, the natural application rep , π〈 π(-)ξ,ξ〉 is a topological quotient, where rep(A:H) is the space of representations on H and Q(A) the set of quasi-states, i.e. positive linear functionals with norm at most 1. This quotient might be a useful tool in the representation theory of C*-algebras. We apply it to give an interesting proof of Takesaki-Bichteler duality for C*-algebras which allows to drop a hypothesis.
Registro:
| Documento: | Artículo |
| Título: | The quasi-state space of a C*-algebra is a topological quotient of the representation space |
| Autor: | Yuhjtman, S.A. |
| Filiación: | Universidad de Buenos Aires, FCEN, Departamento de Matemática, Ciudad Universitaria, Intendente Güiraldes 2160, Pabellón I, Ciudad Autónoma de Buenos Aires, C1428EGA, Argentina |
| Año: | 2015 |
| Volumen: | 56 |
| Número: | 2 |
| Página de inicio: | 57 |
| Página de fin: | 65 |
| 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_v56_n2_p57_Yuhjtman |
Referencias:
- Bichteler, K., A generalization to the non-separable case of Takesaki's duality theorem for C*-algebras (1969) Invent. Math, 9, pp. 89-98. , MR 0253060
- Fujimoto, I., A Gelfand-Naimark theorem for C*-algebras (1998) Pacific J. Math, 184, pp. 95-119. , MR 1626504
- Takesaki, M., A duality in the representation theory of C*-algebras (1967) Ann. of Math. (2), 85, pp. 370-382. , MR 0209859
- Yuhjtman, S.A., (2013) Duality theorems for C*-algebras, multiplier algebra in duality contexts, Tietze extension theorem and related results, , http://digital.bl.fcen.uba.ar/gsdl-282/cgi-bin/library.cgi?a=d&c=tesis&d=Tesis_5365_Yuhjtman, Ph.D. thesis, Universidad de Buenos Aires
Citas:
---------- APA ----------
(2015) . The quasi-state space of a C*-algebra is a topological quotient of the representation space. Revista de la Union Matematica Argentina, 56(2), 57-65.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v56_n2_p57_Yuhjtman [ ]
---------- CHICAGO ----------
Yuhjtman, S.A. "The quasi-state space of a C*-algebra is a topological quotient of the representation space" . Revista de la Union Matematica Argentina 56, no. 2 (2015) : 57-65.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v56_n2_p57_Yuhjtman [ ]
---------- MLA ----------
Yuhjtman, S.A. "The quasi-state space of a C*-algebra is a topological quotient of the representation space" . Revista de la Union Matematica Argentina, vol. 56, no. 2, 2015, pp. 57-65.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v56_n2_p57_Yuhjtman [ ]
---------- VANCOUVER ----------
Yuhjtman, S.A. The quasi-state space of a C*-algebra is a topological quotient of the representation space. Rev. Union Mat. Argent. 2015;56(2):57-65.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00416932_v56_n2_p57_Yuhjtman [ ]
