In addition to Igor's [answer][1], there's also:

D. Ornstein and B. Weiss, "[The Shannon–McMillan–Breiman theorem for a class of amenable groups][2]", *Israel J. Math.* **44** (1983), 53–60. [Zbl 0516.28020][3]


  [1]: https://mathoverflow.net/a/82278
  [2]: https://doi.org/10.1007/BF02763171
  [3]: https://zbmath.org/0516.28020