Introducing the theory of what came to be known as *von Neumann algebra factors*:

The classification of factors into types I, II, III and the construction of examples not of type I:

- Francis J. Murray, John von Neumann,
*On Rings of Operators*, Annals of Mathematics, Second Series,**37**1 (1936) 116-229 [doi:10.2307/1968693, jstor:1968693]

Discussion of traces on these factors:

- Francis J. Murray, John von Neumann,
*On rings of operators. II*, Trans. Amer. Math. Soc.**41**(1937) 208-248 [doi:10.2307/1989620, jstor:1989620]

On isomorphism of factors and proof of a single isomorphism class of approximately finite type $II_1$ factors:

- Francis J. Murray, John von Neumann,
*On rings of operators. IV*, Annals of Mathematics, Second Series,**44**4 (1943) 716-808 [doi:10.2307/1969107, jstor:1969107]

On decomposing von Neumann algebras as a direct integral of factors:

- John von Neumann,
*On rings of operators, reduction theory*, Annals of Mathematics Second Series, Vol. 50, No. 2 (1949) [jstor:1969463]

Recollection of the history which made von Neumann turn to discussion of these “factors”, motivated from considerations in the foundations of quantum mechanics and quantum logic:

- Miklos Rédei,
*Why John von Neumann did not Like the Hilbert Space formalism of quantum mechanics (and what he liked instead)*, Studies in History and Philosophy of Modern Physics**27**4 (1996) 493-510 [doi:10.1016/S1355-2198(96)00017-2]

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Created on August 14, 2023 at 07:32:57. See the history of this page for a list of all contributions to it.