Remarks on Livšic' theory for nonabelian cocycles

Ergodic Theory and Dynamical Systems

Volumn 19, Issue 3, 1999, Pages 703-721

  Schmidt, Klaus ^a,b  

^a UNIVERSITY OF VIENNA   (Austria)

^b Erwin Schrodinger International Institute for Mathematical Physics   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040915915     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799146790     Document Type: Article

References (8)

1. A. Katok and B. Hasselblatt. Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, Cambridge, 1995.
2. A. Livšic. Homology properties of Y-systems. Math. Sametki 10 (1971), 758-763.
3. A. Livšic. Cohomology of dynamical systems. Izv. Akad. Nauk SSSR Ser. Mat. 6 (1972), 1278-1301.
4. M. Nicol and M. Pollicott. Measurable cocycle rigidity for some non-compact groups. Preprint, 1996.
5. W. Parry. The Livšic periodic point theorem for non-abelian cocycles. Ergod. Th. & Dynam. Sys. 19 (1999), 687-701.
6. W. Parry and M. Pollicott. The Livsic cocycle equation for compact Lie group extensions of hyperbolic systems. Preprint, 1995.
7. K. Petersen and K. Schmidt. Symmetric Gibbs measures. Trans. Amer. Math. Soc. 349 (1997), 2775-2811.
8. K. Schmidt. Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group actions. Ergod. Th. & Dynam. Sys. 1 (1981), 223-236.