作者: Robert J. Zimmer
DOI:
关键词: Pure mathematics 、 Discrete mathematics 、 Ergodic theory 、 Mathematics 、 Ergodicity 、 Normal subgroup 、 Algebraic number 、 Almost everywhere 、 Kazhdan's property
摘要: 1. Introduction.- 2. Moore's Ergodicity Theorem.- 3. Algebraic Groups and Measure Theory.- 4. Amenability.- 5. Rigidity.- 6. Margulis' Arithmeticity Theorems.- 7. Kazhdan's Property (T).- 8. Normal Subgroups of Lattices.- 9. Further Results on Ergodic Actions.- 10. Generalizations to p-adic groups S-arithmetic groups.- Appendices.- A. Borel spaces.- B. Almost everywhere identities References.