Ergodicity of the relative bicentralizer flow for type III₁ irreducible subfactors with expectation implies they contain maximal abelian subalgebras, completing Kadison's problem.
Bikram , Connes'\! bicentralizer problem for mixed q -deformed Araki--Woods algebras
2 Pith papers cite this work. Polarity classification is still indexing.
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Separable type III_1 factors with trivial bicentralizer are selfless W*-probability spaces for every faithful normal state.
citing papers explorer
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Ergodicity of the bicentralizer flow and Kadison's problem
Ergodicity of the relative bicentralizer flow for type III₁ irreducible subfactors with expectation implies they contain maximal abelian subalgebras, completing Kadison's problem.
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Selfless W$^*$-probability spaces and Connes' bicentralizer problem
Separable type III_1 factors with trivial bicentralizer are selfless W*-probability spaces for every faithful normal state.