Abstract
We study the internal structure of C â C^* -algebras of right LCM monoids by means of isolating the core semigroup C â C^* -algebra as the coefficient algebra of a Fock-type module on which the full semigroup C â C^* -algebra admits a left action. If the semigroup has a generalised scale, we classify the KMS-states for the associated time evolution on the semigroup C â C^* -algebra and provide sufficient conditions for uniqueness of the KMS ÎČ _\beta -state at inverse temperature ÎČ \beta in a critical interval.
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