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