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.

中文翻译：

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由酉表示引起的拓扑中心

令\((\pi ,\,H_\pi )\)是局部紧群G的酉表示。已经访问了由\(\pi \)引起的拓扑中心的最小值的表征。此外，一些保证中心最大的条件是已知的。在这里，我们的目标是通过关注弱近G周期算子来表征中心的极大值。事实上，我们对此类运算符提出了一种新的观点，使我们能够获得所需的结果。此外，我们考虑了一些总是最大的拓扑中心。