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

2012/07/08 by T. Tâm Nguyễn Phan, T. Tam Nguyen Phan, Phan, T. Tam Nguyen
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.GT

paper · pdf · doi:10.48550/arxiv.1207.1837

5 pages, 1 figure. arXiv admin note: text overlap with arXiv:1108.4127

arxiv created 2012/07/10 · arxiv updated 2012/07/12

Abstract

Let Γ be an irreducible lattice of \Q-rank ≥ 2 in a semisimple Lie group of noncompact type. We prove that any action of Γ on a \CAT(0) cubical complex has a global fixed point.

Citations

• Gluing locally symmetric manifolds: asphericity and rigidity

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