added pointer to:

- Alain Connes,
*Structure Theory for Type III Factors*, Proceedings of the International Congress of Mathematics, Vancouver 1975, vol 2 (1975) [pdf]

added pointer to today’s

- Jonathan Sorce,
*Notes on the type classification of von Neumann algebras*[arXiv:2302.01958]

Added reference to Witten’s lecture notes on algebraic quantum field theory

WWW

]]>Added reference to Witten’s lecture notes on algebraic quantum field theory

WWW

]]>Added reference to Witten’s lecture notes on algebraic quantum field theory

WWW

]]>also added (here) pointer to the recent slew of articles by Witten on vN factors

]]>I have added (here) the original references

and a pointer to

- 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]

on how von Neumann came to studying factors motivated from considerations in quantum logic

]]>added pointer to this week’s

- Jonathan Sorce,
*Notes on the type classification of von Neumann algebras*[arXiv:2302.01958]

Added the definitions of type I, type II_1, type II_∞, type III_0, type III_1, and type III_λ factors.

]]>I guess something like this is where the terminology comes from. The answer is probably in

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

Urs, 3

factor in a product;

von Neumann algebra factor

To some extent, the second is a special case of the first, when one writes an operator algebra by direct integrals, am I right ?

]]>added a pointer at *von Neumann algebra factor* to the recent

- Vaughan Jones, Scott Morrison, Noah Snyder, The classification of subfactors of index at most 5 (arXiv:1304.6141)

With a little luck somebody will feel insoired to add a bit of content to that entry (or better yet, creae a dedicated one on subfactors)…

]]>I created factor

]]>I think it will be difficult to *find* this entry. I mean if I want an entry about factors I will hardly type specific phrase *von Neumann algebra factor*. On the other hand having factor means having many meanings of the word. Should we have a disambiguation page for factor or what ?

stub for von Neumann algebra factor

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