In the theory of von Neumann algebras, a part of the mathematical field of functional analysis, Tomita–Takesaki theory is a method for constructing modular...

actress Minoru Tomita (冨田 稔, 1924–2015), Japanese mathematician and originator of Tomita-Takesaki theory in von Neumann algebras. Naoya Tomita (冨田 尚弥, born...

for the Tomita–Takesaki theory, which is about modular automorphisms of von Neumann algebras. This theory was initially developed by Minoru Tomita until...

Connes on the classification of type III factors. The theory later became known as Tomita-Takesaki theory. Y K Leong (2014). "Interview with Huzihiro Araki:...

Haag, that the more general non-tracial Tomita–Takesaki theory was developed, heralding a new era in the theory of von Neumann algebras. Let H be a Hilbert...

were considered to be intractable objects, but Tomita–Takesaki theory has led to a good structure theory. In particular, any type III factor can be written...

separating vector is important in the theory of von Neumann algebras, and in particular in Tomita–Takesaki theory. A related notion is that of a vector...

via the Tomita–Takesaki theory. Gibbs state v t e Kubo, R. (1957), "Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple...

algebras occur in the theory of von Neumann algebras in: Commutation theorem for traces § Hilbert algebras Tomita–Takesaki theory#Left Hilbert algebras...

reals in the work of Connes and Takesaki on the classification of Type III factors. According to Tomita–Takesaki theory, every vector which is cyclic for...