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On the groups of units in semigroups of probability measures

On the groups of units in semigroups of probability measures

We generalize Pym's decomposition w -μ E * w H * μ F of idempotent probability measures to the decomposition μ E * S^(w H ) * μp of the maximal groups of units in semigroup of probability measures on a compact semitopological semigroup. We also prove that X(w)=X(w H …