Relation To Functional Analysis
MV-algebras were related by D. Mundici to approximately finite dimensional C*-algebras by establishing a bijective correspondence between all isomorphism classes of AF C*-algebras and all isomorphism classes of countable MV algebras. Some instances of this correspondence include:
| Countable MV algebra | AF C*-algebra |
|---|---|
| {0, 1} | ℂ |
| {0, 1/n, ..., 1 } | Mn(ℂ), i.e. n×n complex matrices |
| finite | finite-dimensional |
| boolean | commutative |
Read more about this topic: MV-algebra
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