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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.FA2009★ 22 cited
Fixed point properties and second bounded cohomology of universal lattices on Banach space
Masato Mimura
Let B be any Lp space for p in (1,infty) or any Banach space isomorphic to a Hilbert space, and k be a nonnegative integer. We show that if n is at least 4, then the universal latt…