# Maximal C*-algebras of quotients and injective envelopes of C*-algebras - Mathematics Operator Algebras

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Abstract: A new C*-enlargement of a C*-algebra $A$ nested between the local multiplieralgebra $M {\text{loc}}A$ of $A$ and its injective envelope $IA$ isintroduced. Various aspects of this maximal C*-algebra of quotients,$Q {\text{max}}A$, are studied, notably in the setting of AW*-algebras. As aby-product we obtain a new example of a type I C*-algebra $A$ such that$M {\text{loc}}M {\text{loc}}A e M {\text{loc}}A$.

Autor: Pere Ara, Martin Mathieu

Fuente: https://arxiv.org/