I'm reading Nicolas Monod's book Continuous Bounded Cohomology of Locally Compact Group. I don't understand the meaning of G-invariant measure class in Definition 2.1.1.
Does it mean $\mu(A)=\mu(gA),$for all Borel set $A$ and $g\in G$? But the follwing Radon-Nikodym derivative $\frac{dg^{-1}\mu}{d\mu}$ will be meaningless.
So dose it mean $g\mu<<\mu$ and $\mu <<g\mu$ $ \forall g\in G$ where $g\mu(A)=\mu(gA)$?
2026-03-26 04:29:06.1774499346
G-invariant measure class
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