15 research outputs found
Strong Banach Property (T) for Simple Algebraic Groups of Higher Rank
In [Laf08], [Laf09], Vincent Lafforgue proved strong Banach property (T) for
over a non archimedean local field In this paper, we extend his
results to and therefore to any connected almost -simple algebraic
group with -split rank As applications, the family of expanders
constructed from any lattice of such a group do not admit a uniform embedding
into any Banach space of type and any isometric affine action of such a
group, or its cocompact lattice, on a Banach space of type has a fixed
point.Comment: final version; published by World Scientific Publishing Compan