If you have any problems related to the accessibility of any content (or if you want to request that a specific publication be accessible), please contact (email@example.com)
K-Theory for AF Algebras
AuthorLedbetter, Blane M.
AdvisorBlackadar, Bruce E.
Mathematics and Statistics
AltmetricsView Usage Statistics
K-theory for C*-algebras provides a means ofestablishing stable and complete*-isomorphism invariants.This work reestablishes the results of Elliot, Dixmier, Bratteli andElliot pertaining to the formation of a complete *-isomorphisminvariants for the class of AF algebras utilizing the K0 functor.It is shown that AF algebras have real rank zero which is the non-commutativeanalogue of zero dimensionality ergo characterizing AF algebras isa first step to characterizing stably finite C*-algebrasin general. The next stage utilizes the K1 functor as a *-isomorphisminvariant between C*-algebras built on one dimensionalspaces such as Bunce Deddens algebras. Such algebras can be viewedas functions on "non-commutative'' spaces giving rise to the fieldof noncommutative topology.