Abstract
LetG denote an infinite,σ-compact, locally compact topological group. In this paper a construction is given for a topological transformation groupH G with the Hilbert spaceL 2 (G × G) as a phase space such that any topological transformation group (G, X, π) can be embedded inH G , providedX is a separable metrizable space andπ is a bounded action. The class of such topological transformation groups contains all actions ofG on separable, metrizable, locally compact spaces.
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De Vries, J. A universal topological transformation group inL 2 (G × G) . Math. Systems Theory 9, 46–50 (1975). https://doi.org/10.1007/BF01698124
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DOI: https://doi.org/10.1007/BF01698124