Title : ( Innerness of ρ-derivations on Hyperfinite Von Neumann Algebras )
Authors: Madjid Mirzavaziri , Mohammad Sal Moslehian ,
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Abstract
Suppose that M,N are von Neumann algebras acting on a Hilbert space and M is hyperfinite. Let ρ : M → N be an ultraweakly continuous ∗-homomorphism and let δ : M → N be a ∗-ρ-derivation such that δ(I) commutes with ρ(I). We prove that there is an element U in N with U ≤ δ such that δ(A) = Uρ(A) − ρ(A)U for all A ∈ M. c Electronic Journal of Theoretical Physics. All rights reserved.
Keywords
, Inner ρ, Derivation; ∗, Homomorphism; Hyperfinite Von Neumann Algebra; C∗, Algebra
@article{paperid:1010320,
author = {Madjid Mirzavaziri, and Sal Moslehian, Mohammad},
title = {Innerness of ρ-derivations on Hyperfinite Von Neumann Algebras},
journal = {Electronic Journal of Theoretical Physics},
year = {2009},
number = {20},
month = {January},
issn = {1729-5254},
pages = {321--326},
numpages = {5},
keywords = {Inner ρ-Derivation; ∗-Homomorphism; Hyperfinite Von Neumann Algebra; C∗-Algebra},
}
%0 Journal Article
%T Innerness of ρ-derivations on Hyperfinite Von Neumann Algebras
%A Madjid Mirzavaziri,
%A Sal Moslehian, Mohammad
%J Electronic Journal of Theoretical Physics
%@ 1729-5254
%D 2009
