Rujukan Algebra von Neumann

    • Araki, H.; Woods, E. J. (1968), "A classification of factors", Publ. Res. Inst. Math. Sci. Ser. A, 4 (1): 51–130, doi:10.2977/prims/1195195263
    • Blackadar, B. (2005), Operator algebras, Springer, ISBN 3-540-28486-9, corrected manuscript (PDF), 2013
    • Connes, A. (1976), "Classification of Injective Factors", Annals of Mathematics, Second Series, 104 (1): 73–115, doi:10.2307/1971057, JSTOR 1971057
    • Connes, A. (1994), Non-commutative geometry, Academic Press, ISBN 0-12-185860-X.
    • Dixmier, J. (1981), Von Neumann algebras, ISBN 0-444-86308-7 (A translation of Dixmier, J. (1957), Les algèbres d'opérateurs dans l'espace hilbertien: algèbres de von Neumann, Gauthier-Villars, the first book about von Neumann algebras.)
    • Jones, V.F.R. (2003), von Neumann algebras (PDF); incomplete notes from a course.
    • Kostecki, R.P. (2013), W*-algebras and noncommutative integration, arXiv:1307.4818, Bibcode:2013arXiv1307.4818P.
    • McDuff, Dusa (1969), "Uncountably many II1 factors", Annals of Mathematics, Second Series, 90 (2): 372–377, doi:10.2307/1970730, JSTOR 1970730
    • Murray, F. J. (2006), "The rings of operators papers", The legacy of John von Neumann (Hempstead, NY, 1988), Proc. Sympos. Pure Math., 50, Providence, RI.: Amer. Math. Soc., halaman 57–60, ISBN 0-8218-4219-6 A historical account of the discovery of von Neumann algebras.
    • Murray, F.J.; von Neumann, J. (1936), "On rings of operators", Annals of Mathematics, Second Series, 37 (1): 116–229, doi:10.2307/1968693, JSTOR 1968693. This paper gives their basic properties and the division into types I, II, and III, and in particular finds factors not of type I.
    • Murray, F.J.; von Neumann, J. (1937), "On rings of operators II", Trans. Amer. Math. Soc., American Mathematical Society, 41 (2): 208–248, doi:10.2307/1989620, JSTOR 1989620. This is a continuation of the previous paper, that studies properties of the trace of a factor.
    • Murray, F.J.; von Neumann, J. (1943), "On rings of operators IV", Annals of Mathematics, Second Series, 44 (4): 716–808, doi:10.2307/1969107, JSTOR 1969107. This studies when factors are isomorphic, and in particular shows that all approximately finite factors of type II1 are isomorphic.
    • Powers, Robert T. (1967), "Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings", Annals of Mathematics, Second Series, 86 (1): 138–171, doi:10.2307/1970364, JSTOR 1970364
    • Sakai, S. (1971), C*-algebras and W*-algebras, Springer, ISBN 3-540-63633-1
    • Schwartz, Jacob (1967), W-* Algebras, ISBN 0-677-00670-5
    • Shtern, A.I. (2001), "von Neumann algebra", dalam Hazewinkel, Michiel (penyunting), Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4
    • Takesaki, M. (1979), Theory of Operator Algebras I, II, III, ISBN 3-540-42248-X
    • von Neumann, J. (1930), "Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren", Math. Ann., 102 (1): 370–427, Bibcode:1930MatAn.102..685E, doi:10.1007/BF01782352. The original paper on von Neumann algebras.
    • von Neumann, J. (1936), "On a Certain Topology for Rings of Operators", Annals of Mathematics, Second Series, 37 (1): 111–115, doi:10.2307/1968692, JSTOR 1968692. This defines the ultrastrong topology.
    • von Neumann, J. (1938), "On infinite direct products", Compos. Math., 6: 1–77. This discusses infinite tensor products of Hilbert spaces and the algebras acting on them.
    • von Neumann, J. (1940), "On rings of operators III", Annals of Mathematics, Second Series, 41 (1): 94–161, doi:10.2307/1968823, JSTOR 1968823. This shows the existence of factors of type III.
    • von Neumann, J. (1943), "On Some Algebraical Properties of Operator Rings", Annals of Mathematics, Second Series, 44 (4): 709–715, doi:10.2307/1969106, JSTOR 1969106. This shows that some apparently topological properties in von Neumann algebras can be defined purely algebraically.
    • von Neumann, J. (1949), "On Rings of Operators. Reduction Theory", Annals of Mathematics, Second Series, 50 (2): 401–485, doi:10.2307/1969463, JSTOR 1969463. This discusses how to write a von Neumann algebra as a sum or integral of factors.
    • von Neumann, John (1961), Taub, A.H. (penyunting), Collected Works, Volume III: Rings of Operators, NY: Pergamon Press. Reprints von Neumann's papers on von Neumann algebras.
    • Wassermann, A. J. (1991), Operators on Hilbert space