nLab Irving Segal

Irving Ezra Segal (1918-1998)

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Selected writings

Introducing the GNS construction:

• Irving Segal, Irreducible representations of operator algebras, Bull. Am. Math. Soc. 53 (1947) 73-88 [pdf, euclid]

On the axiomatization of probability theory in terms of the concept of expectation values (instead of probability measures, leading over to quantum probability theory):

• Irving Segal: Algebraic integration theory Part 1, Bull. Amer. Math. Soc. 71 3 (1965) 419-489 [euclid:1183526903]

On constructive quantum field theory:

• John Baez, Irving Segal, Zhengfang Zhou: Introduction to Algebraic and Constructive Quantum Field Theory, Princeton University Press (1992) [ISBN:9780691605128, doi:10.1515/9781400862504, pdf]

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