Structure of locally convex quasi C*-algebras

Camillo Trapani, Fabio Bagarello, Maria Fragoulopoulou, Atsushi Inoue

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11 Citazioni (Scopus)


There are examples of C*-algebras A that accept a locally convex *-topology τ coarser than the given one, such that Ã[τ] (the completion of A with respect to τ) is a GB*-algebra. The multiplication of A[τ] may be or not be jointly continuous. In the second case, Ã[*] may fail being a locally convex *-algebra, but it is a partial *-algebra. In both cases the structure and the representation theory of Ã[τ] are investigated. If Ã+ τ denotes the τ-closure of the positive cone A+ of the given C*-algebra A, then the property Ā+ τ ∩ (-Ā+ τ) = {0} is decisive for the existence of certain faithful *-representations of the corresponding *-algebra Ã[τ]
Lingua originaleEnglish
pagine (da-a)511-549
Numero di pagine39
RivistaJournal of the Mathematical Society of Japan
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

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