Global aspects of ergodic group actions (Mathematical Surveys and Monographs 160)

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The Haagerup property for locally compact quantum groups (2013, methodology): “This extends the philosophy of [45] to the quantum setting and generalises work of Bergelson and Rosenblatt [8].”
Limits of locally–globally convergent graph sequences (2012, background): “In the setting of group actions, this partial order means the same as “weak containment” of the corresponding group actions, and local-global equivalence corresponds to “weak equivalence” (Kechris [21]).”
Entropy for expansive algebraic actions of residually finite groups (2009, methodology): “In §5 we prove that if f ∈ Z0 is invertible in l1(0), then the action 0y(X f , μ f ) is weakly equivalent to a Bernoulli shift action in the sense of [Ke09].”
A SURVEY OF MEASURED GROUP THEORY (2009, unknown): “The index of Γ to Λ in Ω is the ratio of the measures of the fundamental domains [Γ : Λ]Ω = m(X) m(Y ) ( = meas(Ω/Λ) meas(Ω/Γ) ) .”