Compact elements and smallest faithful representation of C*-algebras

Let A be a C*-algebra which either allows a faithful separable rep- resentation or is postliminal. We prove that A then admits a smallest faithful representation if and only if the ideal of compact elements is an essential ideal in A.

Dades bibliogràfiques
Autors principals: Hauser, R, Matzinger, H
Format: Journal article
Publicat: American Mathematical Society 1995