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Resumen de Maximal C*-algebras of quotients and injective envelopes of C*-algebras

Pere Ara Árbol académico, Martin Mathieu Árbol académico

  • A new C*-enlargement of a C*-algebra A nested between the local multiplier algebra of A and its injective envelope is introduced. Various aspects of this maximal C*-algebra of quotients are studied, notably in the setting of AW*-algebras. As a by-product we obtain a new example of a type I C*-algebra such that its second iterated local multiplier algebra is strictly larger than its local multiplier algebra.


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