Noncommutative measure and integration refers to the theory of weights, states, and traces on von Neumann algebras (Takesaki 1979 v. 2 p. 141).
References
- I. E. Segal. A noncommutative extension of abstract integration. Ann. of Math. (2), 57:401–457, 1953. MR # 14:991f, JSTOR collection. 2.0(2)
- Kostecki, R.P. (2013), W*-algebras and noncommutative integration, Bibcode: 2013arXiv1307.4818P .
- Takesaki, M. (1979), Theory of Operator Algebras I, II, III, ISBN 3-540-42914-X. ISBN 3-540-42913-1, ISBN 3-540-42248-X
| Original source: https://en.wikipedia.org/wiki/Noncommutative measure and integration. Read more |