The Livšic periodic point theorem for non-abelian cocycles

Ergodic Theory and Dynamical Systems

Volumn 19, Issue 3, 1999, Pages 687-701

  Parry, William ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

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[No Author keywords available]

Indexed keywords

EID: 0038833027     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799146789     Document Type: Article

References (8)

1. R. Bowen. Topological entropy and Axiom A. Proc. Symp. Pure Math. 14 (1970), 23-41.
2. A. Katok and B. Hasselblatt. Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, 1995.
3. A. Livšic. Homology properties of Y-systems. Math. Sametki 10 (1971), 758-763.
4. A. Livšic. Cohomology of dynamical systems. Izv. Akad. Nauk SSSR Ser. Mat. 6 (1972), 1278-1301.
5. W. Parry. Skew products of shifts with a compact Lie group. J. Lond. Math. Soc. 56(2) (1997), 395-404.
6. W. Parry and M. Pollicott. The Livšic cocycle equation for compact Lie group extensions of hyperbolic systems. J. Lond. Math. Soc. 56(2) (1997), 405-416.
7. K. Schmidt. Remarks on Livšic' theory for nonabelian cocycles. Ergod. Th. & Dynam. Sys. 19 (1999), 703-721.
8. R. F. Williams. Classification of subshifts of finite type. Ann. Math. 98 (1973), 120-153; errata 99 (1979), 380-381.