6533b861fe1ef96bd12c57ec

RESEARCH PRODUCT

Locally convex quasi C*-algebras and noncommutative integration

Camillo TrapaniSalvatore Triolo

subject

Pure mathematicsClass (set theory)Series (mathematics)General Mathematicsnoncommutative integrationRegular polygonFOS: Physical sciencesMathematical Physics (math-ph)Noncommutative geometrySettore MAT/05 - Analisi MatematicaNorm (mathematics)quasi C*-algebrasPrimary 46L08 Secondary 46L51 47L60Focus (optics)Mathematical PhysicsMathematics

description

In this paper 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 and we focus our attention on the so-called {\em locally convex quasi C*-algebras}. We show, in particular, that any strongly *-semisimple locally convex quasi C*-algebra $(\X,\Ao)$, can be represented in a class of noncommutative local $L^2$-spaces.

https://dx.doi.org/10.48550/arxiv.1510.07617