6533b852fe1ef96bd12aacfe
RESEARCH PRODUCT
A note on faithful traces on a von Neumann algebra
Camillo TrapaniSalvatore TrioloFabio Bagarellosubject
Pure mathematics$C^*$-moduleTrace (linear algebra)Mathematics::Operator AlgebrasGeneral MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Algebrasymbols.namesakeVon Neumann's theoremVon Neumann algebraSettore MAT/05 - Analisi MatematicasymbolsAbelian von Neumann algebraAlgebra over a fieldAffiliated operatorSettore MAT/07 - Fisica MatematicaMathematical PhysicsVon Neumann architectureMathematicsdescription
In this short note we give some techniques for constructing, starting from a {\it sufficient} family $\mc F$ of semifinite or finite traces on a von Neumann algebra $\M$, a new trace which is faithful.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-03-31 |