Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13 Lecture 14 Lecture 15 Lecture 16 Lecture 17 Lecture 18 Lecture 19 Lecture 20

Noncommutative Distributions - Lecture 20 (15.07.2019)


unbounded operators affiliated to von Neumann algebras, in particular, in the finite case; existence of rational expressions and of inverses of full matrices of polynomials as unbounded operators; characterization of this by the existence of finite rank operators satisfying some commutator relations; absence of atoms in the distribution of a selfadjoint rational expression in free semicirculars and absence of kernel of a full matrix in free semicirculars