Locally convex quasi C*-algebras and noncommutative integration

• Autorzy: Camillo Trapani , Salvatore Triolo
• Języki publikacji: EN

Abstrakty

EN

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 (𝔛,𝔄₀) can be represented in a class of noncommutative local L²-spaces.

Kategorie tematyczne

• 47L60: Algebras of unbounded operators; partial algebras of operators
• 46L08: C * -modules
• 46L51: Noncommutative measure and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 228
• Numer: 1
• Strony: 33-45

Daty

wydano

2015

Twórcy

autor

Camillo Trapani

• Dipartimento di Matematica e Informatica, Università di Palermo, I-90123 Palermo, Italy

autor

Salvatore Triolo

• Dipartimento DEIM, Università di Palermo, I-90123 Palermo, Italy

Identyfikatory

DOI

10.4064/sm228-1-4