activity
20102023
most citedSimple Lie groups without the Approximation Property

71 citations · 286 across the 17 of their papers we have counts for

collaborators

17 papers

math.OA2023

Dynamical propagation and Roe algebras of warped spaces

Tim de Laat, Federico Vigolo, Jeroen Winkel

Given a non-singular action , we define the -algebra of operators of finite dynamical propagation associated w…

math.GR2023

Actions of higher rank groups on uniformly convex Banach spaces

Tim de Laat, Mikael de la Salle

We prove that all isometric actions of higher rank simple Lie groups and their lattices on arbitrary uniformly convex Banach spaces have a fixed point. This vastly generalises a re…

math.FA2021

Weak*-continuity of invariant means on spaces of matrix coefficients

Tim de Laat, Safoura Zadeh

With every locally compact group , one can associate several interesting bi-invariant subspaces of the weakly almost periodic functions on , each of…

math.OA2019★ 8 cited

Exotic group -algebras of simple Lie groups with real rank one

Tim de Laat, Timo Siebenand

Exotic group -algebras are -algebras that lie between the universal and the reduced group -algebra of a locally compact group. We consider simple Lie groups with…

math.OA2017★ 7 cited

The Fourier algebra of a rigid -tensor category

Yuki Arano, Tim de Laat, Jonas Wahl

Completely positive and completely bounded mutlipliers on rigid -tensor categories were introduced by Popa and Vaes. Using these notions, we define and study the Fourier-…

math.MG2017★ 11 cited

Superexpanders from group actions on compact manifolds

Tim de Laat, Federico Vigolo

It is known that the expanders arising as increasing sequences of level sets of warped cones, as introduced by the second-named author, do not coarsely embed into a Banach space as…

math.FA2017★ 11 cited

Banach space actions and -spectral gap

Tim de Laat, Mikael de la Salle

Żuk proved that if a finitely generated group admits a Cayley graph such that the Laplacian on the links of this Cayley graph has a spectral gap , then the group has…

math.OA2016★ 3 cited

Howe-Moore type theorems for quantum groups and rigid C*-tensor categories

Yuki Arano, Tim de Laat, Jonas Wahl

We formulate and study Howe-Moore type properties in the setting of quantum groups and in the setting of rigid -tensor categories. We say that a rigid -tensor c…

math.FA2015★ 11 cited

On strong property (T) and fixed point properties for Lie groups

Tim de Laat, Masato Mimura, Mikael de la Salle

We consider certain strengthenings of property (T) relative to Banach spaces that are satisfied by high rank Lie groups. Let X be a Banach space for which, for all k, the Banach--M…

math.GR2014★ 36 cited

A complete characterization of connected Lie groups with the Approximation Property

Uffe Haagerup, Søren Knudby, Tim de Laat

We give a complete characterization of connected Lie groups with the Approximation Property for groups (AP). To this end, we introduce a strengthening of property (T), that we call…

math.OA2014★ 23 cited

Approximation properties for noncommutative -spaces of high rank lattices and nonembeddability of expanders

Tim de Laat, Mikael de la Salle

This article contains two rigidity type results for for large that share the same proof. Firstly, we prove that for every differe…

math.GR2014★ 31 cited

Strong property (T) for higher rank simple Lie groups

Tim de Laat, Mikael de la Salle

We prove that connected higher rank simple Lie groups have Lafforgue's strong property (T) with respect to a certain class of Banach spaces containing many class…

math.OA2013★ 48 cited

Simple Lie groups without the Approximation Property II

Uffe Haagerup, Tim de Laat

We prove that the universal covering group of does not have the Approximation Property (AP). Together with the f…

math.OA2012

On the Grothendieck Theorem for jointly completely bounded bilinear forms

Tim de Laat

We show how the proof of the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras by Haagerup and Musat can be modified in such a way that the method o…

math.OA2012★ 12 cited

Approximation properties for noncommutative Lp-spaces associated with lattices in Lie groups

Tim de Laat

In 2010, Lafforgue and de la Salle gave examples of noncommutative Lp-spaces without the operator space approximation property (OAP) and, hence, without the completely bounded appr…

math.OA2012★ 71 cited

Simple Lie groups without the Approximation Property

Uffe Haagerup, Tim de Laat

For a locally compact group G, let A(G) denote its Fourier algebra, and let M_0A(G) denote the space of completely bounded Fourier multipliers on G. The group G is said to have the…

math.SG2010★ 14 cited

On the Regularization of the Kepler Problem

Gert Heckman, Tim de Laat

We show that for the Kepler problem the canonical Ligon-Schaaf regularization map can be understood in a straightforward manner as an adaptation of the Moser regularization. In tur…