Uniformly hyperfinite algebra: Difference between revisions

Revision as of 00:57, 2 March 2013

Revision as of 00:58, 2 March 2013

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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^∞.<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> This identification also yields that its ''K''₀ group is the [[dyadic rational]]s.

== References ==