Property (T) and rigidity for actions on Banach spaces

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

We study property (T) and the fixed point property for actions on Lp and other Banach spaces. We show that property (T) holds when L2 is replaced by Lp (and even a subspace/quotient of Lp), and that in fact it is independent of 1 ≤ p < ∞. We show that the fixed point property for Lp follows from property (T) when 1 < p < 2+ε. For simple Lie groups and their lattices, we prove that the fixed point property for Lp holds for any 1 < p < ∞ if and only if the rank is at least two. Finally, we obtain a superrigidity result for actions of irreducible lattices in products of general groups on superreflexive Banach spaces.

Property (T) and rigidity for actions on Banach spaces

Graph Chatbot

Chat with Graph Search

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case