Group representations on $L^p$-spaces

Eusebio Gardella

11-Jan-2021, 15:00-16:00 (3 years ago)

Abstract: For a given locally compact group, we study group representations (by invertible isometries) on $L^p$-spaces, for $p \in [1,\infty)$, and the associated Banach algebras. For example, the algebra associated to the left regular representation was first studied by Herz in the 70's, and has received renewed attention in the past two decades. There is also a "universal" $L^p$-operator group algebra. For $p=2$ one obtains the group C*-algebras, and the behaviour of these objects for other values of p tend to exhibit a mixture between the case p=2 and the much more rigid case of $L^1(G)$. I will give an overview of what is known and what questions remain open.

functional analysisgroup theoryoperator algebrasquantum algebra

Audience: researchers in the topic


Groups, Operators, and Banach Algebras Webinar

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Organizers: Jared White*, Ulrik Enstad, Bence Horvath
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