Lectures on Selected Topics in von Neumann Algebras
Fumio Hiai
Tohoku University, Japan

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| PrefaceDownload pp. i–viii | |
| ContentsDownload pp. vii–viii | |
| 1 | Von Neumann algebras – An overviewpp. 1–12 |
| 2 | Tomita–Takesaki modular theorypp. 13–24 |
| 3 | Standard form pp. 25–38 |
| 4 | -Measurable operatorspp. 39–70 |
| 5 | Conditional expectations and generalized conditional expectationspp. 71–86 |
| 6 | Connes’ cocycle derivatives pp. 87–94 |
| 7 | Operator-valued weightspp. 95–122 |
| 8 | Takesaki duality and structure theorypp. 123–138 |
| 9 | Haagerup’s -spacespp. 139–162 |
| 10 | Relative modular operators and Connes’ cocycle derivatives (continued)pp. 163–180 |
| 11 | Spatial derivatives and spatial -spacespp. 181–210 |
| Positive self-adjoint operators and positive quadratic formspp. 211–230 | |
| Bibliographypp. 231–238 | |
| Indexpp. 239–241 |