A Note on Cocycles of Unitary Representations
نویسنده
چکیده
Given a unitary representation U of a locally compact abelian group G, we investigate the relationship between two cocycles a,, a2: Vax = a2+ b for some unitary operator V commuting with U and some coboundary b. A necessary and sufficient condition is given in terms of canonical-finite measures defined on G 1. These results are applied to the representation of Z defined by the shift of a stationary Markov chain.
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تاریخ انتشار 2010