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Ergodic action on product spaces

Let $(X_1 \times X_2,d\mu)$ be a measure space with $X_2$ compact. Suppose that we have a continuous (diagonal) action of a topological group $G$ on $X=X_1 \times X_2$. I know that the action of $G$ ...
Osheaga's user avatar
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1 answer
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Two questions related to Dirichlet spaces and Sobolev spaces

I want to ask a question that arises from reading this paper. Let $X$ be a locally compact space which is countable at infinity and let $\xi$ be a Radon measure on $X$. Suppose $V$ is a Hilbert ...
GuestUser's user avatar
4 votes
1 answer
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Sigma algebras on the Stone–Čech compactification of a countable discrete group

Let $\Gamma$ be a countable discrete group and $\beta \Gamma$ be its Stone–Čech compactification. My question is that Does the $\sigma$-algebra generated by clopen sets in $\beta \Gamma$ equal to ...
m07kl's user avatar
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