Geodesic
Locally convex quasi C$^*$-algebras and noncommutative integration
Camillo Trapani1 ; Salvatore Triolo2
1 Dipartimento di Matematica e Informatica Università di Palermo I-90123 Palermo, Italy
2 Dipartimento DEIM Università di Palermo I-90123 Palermo, Italy
Studia Mathematica, Tome 228 (2015) no. 1, pp. 33-45

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We continue the analysis undertaken in a series of previous papers on structures arising as completions of C$^*$-algebras under topologies coarser that their norm topology and we focus our attention on the so-called locally convex quasi $C^*$-algebras. We show, in particular, that any strongly *-semisimple locally convex quasi C$^*$-algebra $({\mathfrak X},{\mathfrak A}_{0})$ can be represented in a class of noncommutative local $L^2$-spaces.
DOI : 10.4064/sm228-1-4
Keywords: continue analysis undertaken series previous papers structures arising completions * algebras under topologies coarser their norm topology focus attention so called locally convex quasi * algebras particular strongly * semisimple locally convex quasi * algebra mathfrak mathfrak represented class noncommutative local spaces

Camillo Trapani 1 ; Salvatore Triolo 2

1 Dipartimento di Matematica e Informatica Università di Palermo I-90123 Palermo, Italy
2 Dipartimento DEIM Università di Palermo I-90123 Palermo, Italy 
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Camillo Trapani; Salvatore Triolo. Locally convex quasi C$^*$-algebras and
 noncommutative integration. Studia Mathematica, Tome 228 (2015) no. 1, pp. 33-45. doi: 10.4064/sm228-1-4

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