Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:C*-algebra
|
| gptkbp:application |
ergodic theory
quantum statistical mechanics subfactor theory |
| gptkbp:defines |
a von Neumann algebra that is a factor and is the weak closure of an increasing sequence of finite-dimensional matrix algebras
|
| gptkbp:example |
the unique hyperfinite II_1 factor
|
| gptkbp:field |
gptkb:mathematics
operator algebras |
| gptkbp:heldBy |
factor
hyperfinite von Neumann algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
hyperfinite factor
|
| gptkbp:introduced |
Murray and von Neumann
|
| gptkbp:most_studied_case |
hyperfinite II_1 factor
|
| gptkbp:property |
injective
amenable unique up to isomorphism for type II_1 |
| gptkbp:type |
can be of type I, II, or III
|
| gptkbp:bfsParent |
gptkb:W*-algebras
|
| gptkbp:bfsLayer |
8
|