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We establish certain topological properties of rank understood as a function on the set of invariant measures on a topological dynamical system. To be exact, we show that rank is of Young class LU (i....
Right submodules of finite rank for von Neumann dynamical systems
Finite rank submodules von Neumann dynamical systems
2010/11/29
Let (M, , , ) be a (finite) von Neumann dynamical system and let N be a unital von Neumann subalgebra of M which is -invariant. If V ⊂ L2(M) is a right N-submodule whose pr...