The quantum traces algebra for the 2+1 Poincare gravity in a first order formalism is explicitly constructed by contracting the corresponding traces algebra of the de Sitter gravity. Unbounded representations of the latter, in the case Lambda (0, are constructed in terms of an underlying SU(1, 1) algebra. Unfortunately, these representations do not possess a well defined Poincare limit. Nevertheless an explicit realization of the Poincare traces algebra is constructed in terms of two pairs of canonical variables.
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Urrutia et al. (1992) studied this question.
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