Abstract
Let \((\pi ,\,H_\pi )\) be a unitary representation of a locally compact group G. The characterization of the minimality of the topological center induced by \(\pi \) is already accessed. Also, some conditions which guarantee that the center is maximal are known. Here, we set our goal to characterizing the maximality of the center by concentrating on weakly almost G-periodic operators. In fact, we present a new point of view on such operators that allows us to get the desired result. Moreover, we consider some topological centers that are always maximal.
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The author is grateful to the anonymous referee for the careful reading of the paper and his/her valuable suggestion.
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Jafari, S.S. On topological centers induced by unitary representations. Arch. Math. 117, 323–333 (2021). https://doi.org/10.1007/s00013-021-01634-9
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DOI: https://doi.org/10.1007/s00013-021-01634-9