Spectrum, entropy and geometric structures for smooth actions of Kazhdan groups

DOI10.1007/BF02787182zbMath0763.22011MaRDI QIDQ1191992

Robert J. Zimmer

Publication date: 27 September 1992

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

zbMATH Keywords

latticezero entropydiscrete spectrumdiscrete subgroupcompact manifoldsKazhdan grouphigher-rank semisimple Lie groups

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40)

Related Items (5)

VOLUME-PRESERVING ACTIONS OF SIMPLE ALGEBRAIC ℚ-GROUPS ON LOW-DIMENSIONAL MANIFOLDS ⋮ Lattice subgroups acting on manifolds ⋮ Product groups acting on manifolds ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T) ⋮ Affine actions of higher rank lattices

Cites Work

• Volume preserving actions of lattices in semisimple groups on compact manifolds
• Kazhdan groups acting on compact manifolds
• Ergodic actions with generalized discrete spectrum
• Point realizations of transformation groups
• On the Volume Elements on a Manifold
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