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- W4375957510 abstract "Let $(X,mathcal{B},mu)$ be a measure space and $A$ be a closed subalgebra of $mathcal{B}(L^p(X,mu))$, where $pin [1,infty)setminus{2}$. Let $(G,A,alpha)$ be an $L^p$-operator dynamical system, where $G$ is a countable discrete amenable group. We prove that the full $L^p$-operator crossed product $F^p(G,A,alpha)$ is $p$-nuclear if and only if $A$ is $p$-nuclear {provided the action} $alpha$ of $G$ on $A$ is $p$-completely isometric. As applications, we show that $L^p$-Cuntz algebras and $L^p$-irrational rotation algebras are both $p$-nuclear for $pin [1,infty)setminus{2}$. Our results solve the {$p$-nuclearity problem} for $L^p$-Cuntz algebras raised by N. C. Phillips." @default.
- W4375957510 created "2023-05-10" @default.
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- W4375957510 creator A5065058975 @default.
- W4375957510 date "2023-05-06" @default.
- W4375957510 modified "2023-09-30" @default.
- W4375957510 title "$p$-nuclearity of $L^p$-operator crossed products" @default.
- W4375957510 doi "https://doi.org/10.48550/arxiv.2305.03933" @default.
- W4375957510 hasPublicationYear "2023" @default.
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