Actions of Cartan subgroups

DOI10.1007/BF02783216zbMath0851.22020MaRDI QIDQ1895081

Shahar Mozes

Publication date: 4 November 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsChevalley groupBruhat-Tits buildingsCartan subgroup

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items

On closures of orbits and arithmetic of quaternions, Commensurators of abelian subgroups in CAT(0) groups, Simply transitive quaternionic lattices of rank 2 over_q(t) and a non-classical fake quadric, Coding geodesic flow on a tree, Abelian subgroup structure of square complex groups and arithmetic of quaternions, Ultrametric logarithm laws. II, Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2, A smallest irreducible lattice in the product of trees., Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes, STRONG SINGULARITY FOR SUBALGEBRAS OF FINITE FACTORS, The reduced group C*-algebra of a triangle building, Simple purely infinite \(C^*\)-algebras and \(n\)-filling actions, Anti-tori in square complex groups., The Ramanujan property for regular cubical complexes, Rigidity of multiparameter actions

Cites Work

• Classifying the isometric extensions of a Bernoulli shift
• Raghunathan's topological conjecture and distributions of unipotent flows
• Mixing of all orders of Lie groups actions
• Buildings of spherical type and finite BN-pairs
• Ergodic theory on compact spaces
• The structure of skew products with ergodic group automorphisms
• On closures of orbits and arithmetic of quaternions
• Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\)
• On isomorphism of weak Bernoulli transformations
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Reductive groups over a local field
• Geodesic flows are Bernoullian
• Ergodic Properties that Lift to Compact Group Extensions
• A General Condition for Lifting Theorems
• Some Transformations Having a Unique Measure with Maximal Entropy
• Metric Properties of Transformations of G-Spaces
• The Addition Theorem for the Entropy of Transformations of G-Spaces
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