, Volume 44, Issue 1, pp 53-60

The Shannon-McMillan-Breiman theorem for a class of amenable groups

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Abstract

We prove the SMB theorem for amenable groups that possess Følner sets {A n } with the property that for some constantM, and all,n, |A n −1 A n | ≦M· |A n |.

This research was supported in part by a National Science Foundation grant MCS81-07092.