Every C*-algebra A has a faithful *-representation ¼ in a Hilbert space H: Consequently it is natural to pose the following question: under which conditions, the completion of a C*-algebra in a weaker than the given one topology, can be realized as a quasi *-algebra of operators? The present paper presents the possibility of extending the well known Gelfand - Naimark representation of C*-algebras to certain Banach C*-modules
Triolo, S. (2012). WQ*-ALGEBRAS OF MEASURABLE OPERATORS. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 43(6), 601-617 [10.1007/s13226-012-0036-x].
WQ*-ALGEBRAS OF MEASURABLE OPERATORS
TRIOLO, Salvatore
2012-01-01
Abstract
Every C*-algebra A has a faithful *-representation ¼ in a Hilbert space H: Consequently it is natural to pose the following question: under which conditions, the completion of a C*-algebra in a weaker than the given one topology, can be realized as a quasi *-algebra of operators? The present paper presents the possibility of extending the well known Gelfand - Naimark representation of C*-algebras to certain Banach C*-modules
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