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Invariants and Classification
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2-cohomology abelian action of G approximately inner bijection CC G centrally free action cocycle crossed action conjugacy classes construct Corollary countable define discrete amenable group discrete group e-paving equivariant estimates exists factor with separable faithful normal finite dimensional submodel finite subsets g e G G-kernels g,h e G Gn+1 group actions group G h,gh hence homomorphism hyperfinite inductively inequality infer inner automorphisms isomorphic Kn+1 KnLn left g translation lemma lemma is proved Let f Let G matrix units McDuff factor model action moreover n-th finite dimensional Neumann algebra normal subgroup obtain outer conjugacy outer conjugate partial isometry partition of unity Paving Structure projections proof relative commutant representing sequences Rohlin Theorem satisfies separable predual Step strongly free strongly outer subfactor submodel action subsets of G suppose tower ultraproduct unitaries vgag W*-algebra yields