2008/09/11 by Renato Nobili, Nobili, Renato
Computer Science · #Cellular Automata and Applications #Computability, Logic, AI Algorithms #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.0809.2031
openalex publication_date 2008/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper introduces in a new although maybe unusual form the examples of types provided by J. von Neumann and F.J. Murray in their outstanding papers on algebraic factorization (1936-1943)pursuing three main aims: speculating about the physical reasons and motivations that are likely to have been at the origin of von Neumann's investigation; describing the examples of factors provided by those authors with the purpose of clarifying the general concepts standing at the base of the classification of factors into three general types; outlining the perspective of extending the theory to non--separable Hilbert spaces with the purpose of suggesting a novel approach to the representation of infinite systems controlled by external gauge fields.