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Results tagged with measure-theory
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user 67036
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
1
vote
Connes' correspondences of two $L^\infty$-algebras
The answer to my own question. Many thanks to Jesse Peterson for pointing out the confusing place.
Let $\mathcal A$, $\mathcal B$ be sigma-algebras of subsets of $X$ and $Y$ respectively. Define the …
- 81
7
votes
1
answer
264
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Connes' correspondences of two $L^\infty$-algebras
In his "Noncommutative Geometry" book Connes asserts (on p. 539) that for two standard probability spaces $(X,\mu_X)$, $(Y,\nu_Y)$ an $N$-$M$-bimodule for $M=L^\infty(X,\mu_X)$ and $N=L^\infty(Y,\mu_Y …
- 81