Traces and noncommutative integration

Traces on von Neumann algebras, from finite and semifinite traces to the center-valued trace; integration for a trace, the commutation theorem and the extended center-valued trace; operators measurable with respect to a trace: examples, convergence in measure and nearly everywhere, and the commutant of left multiplication; and the multiplicity of a representation, measured by the coupling function.

1. Traces on von Neumann algebras (in preparation)
2. Integration for a trace, the commutation theorem, and applications
3. Measurable operators for a trace: examples, convergence and the commutant
4. Multiplicity of a von Neumann algebra on a Hilbert space

Original text CC0 1.0 unless the lesson states other terms.