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[en] Let , and let G be a locally compact group. Let A be a unital -algebra. We give a sufficient and necessary condition for a sequence of weighted translations on the -algebra-valued Lebesgue space to be topologically transitive in terms of the Haar measure, the weight functions, and an aperiodic sequence in G. Chaos, topological mixing, supercyclicity and dual hypercyclicity for such a sequence are also discussed.