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20102023
most citedSimple Lie groups without the Approximation Property

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

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9 papers · 1 filter

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.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.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.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.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…