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Classification of UHF-algebras: The role of groupoid in the new approach to classification theory

Posted on:2001-12-08Degree:Ph.DType:Dissertation
University:University of California, Los AngelesCandidate:Della Rocca, GiulioFull Text:PDF
GTID:1468390014454619Subject:Mathematics
Abstract/Summary:
The classical classification of the UHF algebras is reviewed in the light of the new classification paradigm presented in [KST]. In the course of review, we prove that the exact sequence: 1&rarrr;Int Uinfinity⊗K &rarrr;Aut Uinfinity⊗K →mod&rarrr; Q*+&rarrr;1 splits. This result allows us to build a functor from the category of dimension groups into the category of UHF algebras.
Keywords/Search Tags:Classification
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