Locally convex quasi C*-algebras and noncommutative integration

Camillo Trapani, and Salvatore Triolo. "Locally convex quasi C*-algebras and noncommutative integration." Studia Mathematica 228.1 (2015): 33-45. <http://eudml.org/doc/285601>.

@article{CamilloTrapani2015,
abstract = {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.},
author = {Camillo Trapani, Salvatore Triolo},
journal = {Studia Mathematica},
keywords = {Banach C$\ast $-modules; noncommutative integration; partial algebras of operators},
language = {eng},
number = {1},
pages = {33-45},
title = {Locally convex quasi C*-algebras and noncommutative integration},
url = {http://eudml.org/doc/285601},
volume = {228},
year = {2015},
}

TY - JOUR
AU - Camillo Trapani
AU - Salvatore Triolo
TI - Locally convex quasi C*-algebras and noncommutative integration
JO - Studia Mathematica
PY - 2015
VL - 228
IS - 1
SP - 33
EP - 45
AB - 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.
LA - eng
KW - Banach C$\ast $-modules; noncommutative integration; partial algebras of operators
UR - http://eudml.org/doc/285601
ER -