• Corpus ID: 119156189

# Functoriality of group algebras acting on $L^p$-spaces

@article{Gardella2014FunctorialityOG,
title={Functoriality of group algebras acting on \$L^p\$-spaces},
author={Eusebio Gardella and Hannes Thiel},
journal={arXiv: Functional Analysis},
year={2014}
}
• Published 24 August 2014
• Mathematics
• arXiv: Functional Analysis
We continue our study of group algebras acting on $L^p$-spaces, particularly of algebras of $p$-pseudofunctions of locally compact groups. We focus on the functoriality properties of these objects. We show that $p$-pseudofunctions are functorial with respect to homomorphisms that are either injective, or whose kernel is amenable and has finite index. We also show that the universal completion of the group algebra with respect to representations on $L^p$-spaces, is functorial with respect to…
3 Citations
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• Mathematics
Transactions of the American Mathematical Society
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For a nontrivial locally compact group $G$, and $p\in [1,\infty)$, consider the Banach algebras of $p$-pseudofunctions, $p$-pseudomeasures, $p$-convolvers, and the full group $L^p$-operator algebra.
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• Mathematics
• 2014
For $$p\in [1,\infty )$$p∈[1,∞) we study representations of a locally compact group $$G$$G on $$L^p$$Lp-spaces and $$\textit{QSL}^p$$QSLp-spaces. The universal completions $$F^p(G)$$Fp(G) and

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