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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

4 votes
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Measurable structures for direct integrals

Up to isomorphism, there are no other examples. But literally speaking, there are other examples. You could choose a non-measurable map $U$ from $X$ to the unitary group $\mathcal{U}(H)$, for instance …
Stefaan Vaes's user avatar
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6 votes
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Measure dependance of groupoid von Neumann algebra

No, the von Neumann algebra can vary a lot, even when the groupoid is a transformation groupoid for an action of a discrete group $\Gamma$ on a compact space $X$. For instance, take $X$ to be the Cant …
Stefaan Vaes's user avatar
  • 4,426