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We want to introduce the concept of entropy and pressure for C∗ Algebras. Several different definitions of entropy are known in our days. The one presented here is quite natural and extends the usual one for Dynamical Systems in Thermodynamic Formalism Theory. It has the advantage of been very easy to be introduced. It is basically obtained from transfer operators. Later we introduce the concept of pressure as a min-max principle. Finally, we consider the concept of a KMS state been an equilibrium state for a potential (in the context of C∗-Algebras). ∗Instituto de Matematica, UFRGS, 91509-900 Porto Alegre, Brasil. Partially supported by CNPq, PRONEX – Sistemas Dinâmicos, Instituto do Milenio, and beneficiary of CAPES financial support.

KMS States, Entropy, and a Variational Principle for Pressure