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On unitary representations of groups of isometries

Representation Theory 2007-05-23 v1

Abstract

Is the topological group of all motions (including translations) of an infinite-dimensional Hilbert space HH isomorphic to a subgroup of the unitary group U(H)U(H)? This question was asked by Su Gao. We answer the question in the affirmative.

Keywords

Cite

@article{arxiv.math/0406253,
  title  = {On unitary representations of groups of isometries},
  author = {V. V. Uspenskij},
  journal= {arXiv preprint arXiv:math/0406253},
  year   = {2007}
}

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4 pages