• 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}
}
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
Representations of $p$-convolution algebras on $L^q$-spaces
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.
Group Algebras Acting on $$L^p$$Lp-Spaces
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

References

SHOWING 1-10 OF 12 REFERENCES
Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces
For $p \in [1, \infty),$ we define and study full and reduced crossed products of algebras of operators on $\sigma$-finite $L^p$ spaces by isometric actions of second countable locally compact
REPRESENTATIONS OF LOCALLY COMPACT GROUPS ON QSLP-SPACES AND A P-ANALOG OF THE FOURIER-STIELTJES ALGEBRA
For a locally compact group G and p ∈ (1, oo), we define Bp(G) to be the space of all coefficient functions of isometric representations of G on quotients of subspaces of L p spaces. For p = 2, this
Simple reduced $L^p$ operator crossed products with unique trace
In this article we study simplicity and traces of reduced $L^p$ operator crossed products $F^p_{\mathrm{r}}(G, A, \alpha)$. Given $p \in (1, \infty)$, let $G$ be a Powers group, and let $\alpha
Classical Harmonic Analysis and Locally Compact Groups
1. Classical harmonic analysis and Wiener's theorem 2. Function algebras and the generalization of Wiener's theorem 3. Locally compact groups and the Haar measure 4. Locally compact abelian groups
Group algebras acting on L-spaces
  • preparation
  • 2014
Lecture notes of the Unione matematica italiana
Harmonic synthesis for subgroups
© Annales de l’institut Fourier, 1973, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions
Harmonic synthesis for subgroups, Ann
  • Inst. Fourier (Grenoble)
  • 1973
...
...