Let φ be an aperiodic cocycles with values in a locally compact abelian second countable group double-struck G sign defined on an exact Gibbs-Markov map T : X → X. We show that the group extension Tφ(x, g) = (T(x), g + φ(x)) (x ∈ X; g ∈ double-struck G sign) is exact. Equivalent conditions for exactness are found.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty