Canonical functional extensions on von Neumann algebras

• Autorzy: Carlo Cecchini
• Języki publikacji: EN

Abstrakty

EN

The topology and the structure of the set of the canonical extensions of positive, weakly continuous functionals from a von Neumann subalgebra $M_0$ to a von Neumann algebra M are described.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 135
• Numer: 1
• Strony: 13-24

Daty

wydano

1999

otrzymano

1996-12-12

Twórcy

autor

Carlo Cecchini

• Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze 206, 33100 Udine, Italy

Bibliografia

• [1] L. Accardi and C. Cecchini, Conditional expectations in von Neumann algebras and a theorem of Takesaki, J. Funct. Anal. 45 (1982), 245-273.
• [2] H. Araki, Some properties of modular conjugation operator of von Neumann algebras and a noncommutative Radon-Nikodym theorem with a chain rule, Pacific J. Math. 50 (1974), 309-354.
• [3] C. Cecchini, An abstract characterization of ω-conditional expectations, Math. Scand. 66 (1990), 155-160.
• [4] C. Cecchini and D. Petz, State extensions and a Radon-Nikodym theorem for conditional expectations on von Neumann algebras, Pacific J. Math. 138 (1989), 9-23.
• [5] C. Cecchini and D. Petz, Classes of conditional expectations over von Neumann algebras, J. Funct. Anal. 92 (1990), 8-29.
• [6] F. Combes et C. Delaroche, Groupe modulaire d'une espérance conditionnelle dans une algèbre de von Neumann, Bull. Soc. Math. France 103 (1975), 385-426 (1976).
• [7] A. Connes, Sur le théorème de Radon-Nikodym pour les poids normaux fidèles semifinis, ibid. 97 (1973), 253-258.