Abstract
LetS(∞) be the group of finite permutations on countably many symbols. We exhibit an embedding ofS(∞) into a UHF-algebra\(\mathfrak{A}\) of Glimm typen ∞ such that, if δ is a *-derivation vanishing onS(∞) and satisfying τ°δ=0, where τ is the unique trace on\(\mathfrak{A}\), then δ admits an extension which is the generator of aC*-dynamics.
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Communicated by H. Araki
Work supported in part by NSF
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Powers, R.T., Price, G. Derivations vanishing onS(∞). Commun.Math. Phys. 84, 439–447 (1982). https://doi.org/10.1007/BF01209626
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DOI: https://doi.org/10.1007/BF01209626