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A note on cocycles of unitary representations. (English) Zbl 0329.22008


MSC:

22D10 Unitary representations of locally compact groups
22B99 Locally compact abelian groups (LCA groups)
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
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[1] Robin Fellgett and William Parry, Endomorphisms of a Lebesgue space. II, Bull. London Math. Soc. 7 (1975), 151 – 158. , https://doi.org/10.1112/blms/7.2.151 William Parry, Endomorphisms of a Lebesgue space. III, Israel J. Math. 21 (1975), no. 2-3, 167 – 172. Conference on Ergodic Theory and Topological Dynamics (Kibbutz Lavi, 1974). · Zbl 0312.28018
[2] Frederick P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies, No. 16, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1969. · Zbl 0174.19001
[3] K. R. Parthasarathy and K. Schmidt, Positive definite kernels, continuous tensor products, and central limit theorems of probability theory, Lecture Notes in Mathematics, Vol. 272, Springer-Verlag, Berlin-New York, 1972. · Zbl 0237.43005
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