Kazhdan’s property $(T)$ with respect to non-commutative $L_{p}$-spaces

DOI10.1090/S0002-9939-2012-11481-9zbMath1279.46049OpenAlexW2764769595MaRDI QIDQ2846852

Baptiste Olivier

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11481-9

zbMATH Keywords

group representationsMazur mapproperty \((T)\)Haagerup non-commutative \(L_p(\mathcal{M})\)-spacesproperty \(F_{L_p(\mathcal{M})}\)

Mathematics Subject Classification ID

Geometric group theory (20F65) Noncommutative function spaces (46L52) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

Related Items (6)

Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\) ⋮ Noncommutative maximal ergodic inequalities associated with doubling conditions ⋮ Local rigidity for actions of Kazhdan groups on noncommutative L_p-spaces ⋮ Isometric actions on L_p-spaces: dependence on the value of p ⋮ On groups with property \((T_{\ell_p})\) ⋮ Fixed-point spectrum for group actions by affine isometries on \(L_p\)-spaces

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• Non-commutative L^P-spaces
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• Formes linéaires sur un anneau d'opérateurs

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