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Dec 8, 2022 at 4:54 comment added The Amplitwist The link to springerlink.com is broken. I'm also unable to find any snapshot saved on the Wayback Machine.
Jun 5, 2011 at 23:45 answer added Valerio Capraro timeline score: 1
Jun 5, 2011 at 14:46 answer added user6976 timeline score: 8
Jun 5, 2011 at 13:28 comment added Valerio Capraro mmm.. following the classical proof word by word, it seems that associativity is necessary to prove that the natural action of the magma $M$ on the set $\mathcal M$ of probability measures on $M$ is commutative. Anyway, let me give the explicit example: $M=[-k,k]\subseteq \mathbb Z$ and $$ x\cdot y=\max(\min(x+y,k),-k) $$ Maybe in this case the existence of an invariant mean follows just from the fact that $M$ is finite.
Jun 5, 2011 at 13:04 history edited Valerio Capraro CC BY-SA 3.0
added 10 characters in body
Jun 5, 2011 at 12:05 history asked Valerio Capraro CC BY-SA 3.0