Murray-von Neumann equivalence
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:appliesTo |
projections in a von Neumann algebra
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| gptkbp:defines |
Two projections p and q in a von Neumann algebra are Murray-von Neumann equivalent if there exists a partial isometry v such that v*v = p and vv* = q.
|
| gptkbp:field |
functional analysis
operator algebras |
| https://www.w3.org/2000/01/rdf-schema#label |
Murray-von Neumann equivalence
|
| gptkbp:introducedIn |
1936
|
| gptkbp:namedAfter |
gptkb:John_von_Neumann
gptkb:Francis_J._Murray |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:C*-algebra
projection partial isometry |
| gptkbp:usedIn |
classification of factors
|
| gptkbp:bfsParent |
gptkb:C*-algebra_K-theory
|
| gptkbp:bfsLayer |
6
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