Locally trivial W∗-bundles
We prove that a tracially continuous W[Formula: see text]-bundle [Formula: see text] over a compact Hausdorff space [Formula: see text] with all fibers isomorphic to the hyperfinite II1 factor [Formula: see text] that is locally trivial already has to be globally trivial. The proof uses the contractibility of the automorphism group [Formula: see text] shown by Popa and Takesaki. There is no restriction on the covering dimension of [Formula: see text].
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1994 ◽
Vol 05
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pp. 201-212
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1971 ◽
Vol 23
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pp. 468-480
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1992 ◽
Vol 44
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pp. 797-804
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1974 ◽
Vol 53
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pp. 127-135
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1974 ◽
Vol 26
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pp. 920-930
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