In this paper we investigate consequences of covariance of a uniformly Quantum Markov Semigroup, under a group action, on the structure of its minimal invariant projections. We obtain that, under suitable hypotheses, minimal invariant projections correspond to irreducible sub-representations in which the initial covariant representation is decomposed. We apply this results in the study circulant Quantum Markov Semigroups
Invariant Projections for Covariant Quantum Markov Semigroups
Franco Fagnola;
2020-01-01
Abstract
In this paper we investigate consequences of covariance of a uniformly Quantum Markov Semigroup, under a group action, on the structure of its minimal invariant projections. We obtain that, under suitable hypotheses, minimal invariant projections correspond to irreducible sub-representations in which the initial covariant representation is decomposed. We apply this results in the study circulant Quantum Markov SemigroupsFile in questo prodotto:
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