Constructs the first examples of separable II₁ factors with no non-trivial crossed product decompositions via a novel embedding property into the tensor square.
Classification of injective factors. CasesII 1, II ∞, III λ, λ̸= 1,
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.OA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Constructs first non-locally trivial W*-bundle with fixed II1 factor fibres via a uniform spectral gap obstruction for bundles with factorial fibres.
citing papers explorer
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A class of II$_1$ factors without non-trivial crossed product decompositions
Constructs the first examples of separable II₁ factors with no non-trivial crossed product decompositions via a novel embedding property into the tensor square.
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A non-locally trivial $\mathrm{W}^*$-bundle with fixed factorial fibres
Constructs first non-locally trivial W*-bundle with fixed II1 factor fibres via a uniform spectral gap obstruction for bundles with factorial fibres.