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arxiv: 1207.1837 · v2 · pith:XKQXKMHLnew · submitted 2012-07-08 · 🧮 math.GT

Actions of higher rank, irreducible lattices on CAT(0) cubical complexes

classification 🧮 math.GT
keywords cubicalgammairreduciblerankactionactionscomplexcomplexes
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Let $\Gamma$ be an irreducible lattice of $\Q$-rank $\geq 2$ in a semisimple Lie group of noncompact type. We prove that any action of $\Gamma$ on a $\CAT(0)$ cubical complex has a global fixed point.

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