Remarks on Actions on Compacta by Some Infinite-dimensional Groups
نویسنده
چکیده
We discuss some techniques related to equivariant compactifications of uniform spaces and amenability of topological groups. In particular, we give a new proof of a recent result by Glasner and Weiss describing the universal minimal flow of the infinite symmetric group S∞ with the standard Polish topology, and extend Bekka’s concept of an amenable representation, enabling one to deduce non-amenability of the Banach–Lie groups GL (Lp) and GL (lp), 1 ≤ p < ∞.
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