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Matematicheskie Zametki, 2013, Volume 93, Issue 5, Pages 658–664
DOI: https://doi.org/10.4213/mzm10231 (Mi mzm10231) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Continuous Derivations on $*$-Algebras of $\tau$-Measurable Operators Are Inner

A. F. Ber

DCF Technologies Ltd.
Full-text PDF (425 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10231
Abstract: It is proved that every continuous derivation on the $*$-algebra $S(\mathcal{M},\tau)$ of all $\tau$-measurable operators affiliated with a von Neumann algebra $\mathcal{M}$ is inner. For every properly infinite von Neumann algebra $\mathcal{M}$, any derivation on the $*$-algebra $S(\mathcal{M},\tau)$ is inner.
Keywords: von Neumann algebra, properly infinite, $\tau$-measurable operator, continuous derivation.
Received: 14.12.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 5, Pages 654–659
DOI: https://doi.org/10.1134/S0001434613050027
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. F. Ber, “Continuous Derivations on $*$-Algebras of $\tau$-Measurable Operators Are Inner”, Mat. Zametki, 93:5 (2013), 658–664; Math. Notes, 93:5 (2013), 654–659
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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