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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm228-1-4,
author = {Camillo Trapani and Salvatore Triolo},
title = {Locally convex quasi C*-algebras and noncommutative integration},
journal = {Studia Mathematica},
volume = {231},
year = {2015},
pages = {33-45},
zbl = {06497978},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm228-1-4}
}
Camillo Trapani; Salvatore Triolo. Locally convex quasi C*-algebras and noncommutative integration. Studia Mathematica, Tome 231 (2015) pp. 33-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm228-1-4/