Abstract
The Grothendieck group K0(δ∞) of the group of finite permutations of a countable set is described. All semifinite characters of δ∞ are described and with their help the cone of representations K 0+ (δ∞) is characterized.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 123, pp. 126–151 (1983).
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Vershik, A.M., Kerov, S.V. The K -functor (Grothendieck group) of the infinite symmetric group. J Math Sci 28, 549–568 (1985). https://doi.org/10.1007/BF02104985
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DOI: https://doi.org/10.1007/BF02104985