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can be identified with the multiplicity 2 embedding
:<math>M_{2^n} \hookrightarrow M_{2^{n+1}}.</math>ref name="Davidson97">{{cite book|last=Davidson|first=Kenneth|title=C*-Algebras by Example|year=1997|publisher=Fields Institute|isbn=0-8218-0599-1|pages=166,218-219,234}}</ref>
Therefore the CAR algebra has supernatural number 2<sup>∞</sup>. This identification also yields that its ''K''<sub>0</sub> group is the [[dyadic rational]]s.<
== References ==
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