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Matematicheskie Zametki, 2001, Volume 70, Issue 5, Pages 643–659
DOI: https://doi.org/10.4213/mzm777 (Mi mzm777) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Regular Semigroups of Endomorphisms of von Neumann Factors

G. G. Amosov, A. V. Bulinski, M. E. Shirokov

Moscow Institute of Physics and Technology
Full-text PDF (285 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm777
Abstract: We study a class of $E_0$-semigroups of endomorphisms of a von Neumann factor $\mathscr M$ possessing the following property: an $e_0$-semigroup of endomorphisms of $\mathscr B(\mathscr H)$ , where $\mathscr H$ is the standard representation space for $\mathscr M$ , and a product system of Hilbert spaces can be associated with each of these $E_0$-semigroups.
Received: 25.01.2001
English version:
Mathematical Notes, 2001, Volume 70, Issue 5, Pages 583–598
DOI: https://doi.org/10.1023/A:1012953124419
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: G. G. Amosov, A. V. Bulinski, M. E. Shirokov, “Regular Semigroups of Endomorphisms of von Neumann Factors”, Mat. Zametki, 70:5 (2001), 643–659; Math. Notes, 70:5 (2001), 583–598
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    1. Bikram P., Markiewicz D., “On the Classification and Modular Extendability of E-0-Semigroups on Factors”, Math. Nachr., 293:7 (2020), 1228–1250  crossref  mathscinet  isi  scopus
    2. Sunder V.S., “Operator Algebras in India in the Past Decade”, Indian J. Pure Appl. Math., 50:3 (2019), 801–834  crossref  mathscinet  isi  scopus
    3. Bikram P., “Car Flows on Type III Factors and Their Extendability”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 17:4 (2014), 1450026  crossref  mathscinet  zmath  isi  scopus  scopus
    4. Bikram P., Izumi M., Srinivasan R., Sunder V.S., “On Extendability of Endomorphisms and of $E_0$-Semigroups on Factors”, Kyushu J. Math., 68:1 (2014), 165–179  crossref  mathscinet  zmath  isi  scopus  scopus
    5. G. G. Amosov, “On Markovian perturbations of the group of unitary operators associated with a stochastic process with stationary increments”, Theory Probab. Appl., 49:1 (2005), 123–132  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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