EXTENSIONS OF MAPPINGS ON VON NEUMANN ALGEBRAS

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SAL MOSLEHIAN M.; MIRZA VAZIRI M.

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Seminar Paper

Paper Information

Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Year:2009 | Issue:18

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Title

EXTENSIONS OF MAPPINGS ON VON NEUMANN ALGEBRAS

Author(s)

SAL MOSLEHIAN M. | MIRZA VAZIRI M. | Issue Writer Certificate

Keywords

*-HOMOMORPHISM

MAXIMAL ABELIAN SUBALGEBRA (MASA)

CENTRALLY EXTENDABLE*-HOMOMORPHISM (CEH)

CENTRALLY EXTENDABLE *- ρ-DERIVATION (CED)

MODULAR CONJUGATION OPERATOR

VON NEUMANN ALGEBRA

ρ-DERIVATION

Abstract

In this paper we give some sufficient conditions for a *-homomorphism to be a CEH and prove that d is a CED if and only if r is a CEH. Thus the study of r-derivations on arbitrary von Neumann algebras is reduced to the case of type I von Neumann algebras.

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APA: Copy

SAL MOSLEHIAN, M., & MIRZA VAZIRI, M.. (2009). EXTENSIONS OF MAPPINGS ON VON NEUMANN ALGEBRAS. THE SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18). SID. https://sid.ir/paper/904388/en

Vancouver: Copy

SAL MOSLEHIAN M., MIRZA VAZIRI M.. EXTENSIONS OF MAPPINGS ON VON NEUMANN ALGEBRAS. 2009. Available from: https://sid.ir/paper/904388/en

IEEE: Copy

M. SAL MOSLEHIAN, and M. MIRZA VAZIRI, “EXTENSIONS OF MAPPINGS ON VON NEUMANN ALGEBRAS,” presented at the THE SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18). 2009, [Online]. Available: https://sid.ir/paper/904388/en

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