GELFAND THEORY FOR NON-COMMUTATIVE BANACH ALGEBRAS

Gelfand theories of arbitrary Banach enjoy many of the properties of commutative Gelfand theory. We shoq that unital homogeneous Banach algebras always have a Gelfand theory. For liminal C*-algebras with discrete spectrum, we show that the identity is the only Gelfand theory (up to an appropriate notion of equivalence).

کلیدواژه ها:

Gelfand theory ، maximal left ideal ، Babach algebra ، C*-algebra