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Competing definitions of smooth orbit equivalence relation
Suppose that $X$ is a standard Borel space (meaning it is endowed with a $\sigma$-algebra coming from some Polish topology on $X$) and $G$ is a Polish group acting in a Borel way on $X$. Denote by $...
- 3,011
3
votes
1
answer
407
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Measure Preserving Transformation Induced by a $*$-automorphism on $L^\infty(X,\mu)$
The following excerpt is from Connes' Noncommutative Geometry
Let $(X, \mathcal{B}, \mu)$ be a standard Borel space equipped with a probability measure $\mu$, and let $\ T$ be a Borel ...
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