dc.contributor.advisor Gong, Guihua (Consejero) dc.contributor.author Wang, Kun dc.date.accessioned 2015-11-21T21:25:36Z dc.date.available 2015-11-21T21:25:36Z dc.identifier.uri http://hdl.handle.net/123456789/2311 dc.description.abstract Let A = lim n→∞ (An,ɸn,m) be a C∗ algebra where An =⨁kn i=1 Ain , Ain are splitting interval algebras. Suppose that A has the ideal property: each closed two-sided ideal is generated by the projections inside the ideal, as a closed two-sided ideal. In Chapter 1, we show that the scaled ordered K0 group and the ordered vector spaces AﬀT(eAe) with maps between AﬀT(e'Ae') and AﬀT(eAe) are the complete invariant for the classiﬁcation of this class of C∗-algebras, where eAe := {eae| a ∈ A}, and e, e' are certain projections in A with e' 0, we can ﬁnd a simple inductive limit C ∗ -algebra (simple AH algebra), say A, and a unitary u ∈ CU(A) with u ∼h 1 and cel(u) ≥ 2π − ε. dc.language.iso en dc.subject C* dc.subject Elliott invariant dc.subject splitting interval algebra dc.subject K- theory dc.title Classification of Splitting Interval Algebras and the C* Exponential Length dc.type Dissertation
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