Derivations of quotients of von Neumann algebras
Ringrose, J. R.
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Ringrose, J. R.
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S. Sakai (1971)
Bulletin de la Société Mathématique de France
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V. Shul'Man (1994)
Studia Mathematica
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The aim of this paper is to prove that derivations of a C*-algebra A can be characterized in the space of all linear continuous operators T : A → A by the conditions T(1) = 0, T(L∩R) ⊂ L + R for any closed left ideal L and right ideal R. As a corollary we get an extension of the result of Kadison [5] on local derivations in W*-algebras. Stronger results of this kind are proved under some additional conditions on the cohomologies of A.
Martin Mathieu (1992)
Publicacions Matemàtiques
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This article summarizes a series of lectures delivered at the Mathematics Department of the University of Leipzig, Germany, in April 1991, which were to overview techniques for solving operator equations on C*-algebras connected with methods developed in a Spanish-German research project on "Structure and Applications of C*-Algebras of Quotients" (SACQ). One of the researchers in this project was Professor Pere Menal until his unexpected death this April. To his memory this paper shall...
Junek, H.
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