On Cardinal Invariants and Generators for von Neumann Algebras
On Cardinal Invariants and Generators for von Neumann Algebras
Abstract We demonstrate how most common cardinal invariants associated with a von Neumann algebra ℳ can be computed from the decomposability number, dens(ℳ), and the minimal cardinality of a generating set, gen(ℳ). Applications include the equivalence of the well-known generator problem, “Is every separably-acting von Neumann algebra singly-generated?”, with the …