A classification result for simple real approximate interval algebras
نویسنده
چکیده
A classification in terms of K-theory and tracial states is obtained for those real structures which are compatible with the inductive limit structure of a simple C∗-inductive limit of direct sums of algebras of continous matrix valued functions on an interval.
منابع مشابه
Some result on simple hyper K-algebras
A simple method is described, to prove some theorems for simple hyper K-algebras and to study positive implicative hyper K-ideals, weak (implicative ) hyper K-ideals in simple hyper K-algebras . Beside, some results on positive implicative and (weak) implicative simple hyper K-algebras are presented. Finally classification of simple hyper Kalgebras of order 4, which are satisfied in conditions ...
متن کاملOn the Classification of Simple Approximately Subhomogeneous C*-algebras Not Necessarily of Real Rank Zero
A classification is given of certain separable nuclear C*-algebras not necessarily of real rank zero, namely the class of simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose building blocks have their spectrum homeomorphic to the interval [0, 1] or to a finite disjoint union of closed intervals. In particular, a classification of those stably AI algebras which ar...
متن کاملThe Classification of Separable Simple C*-algebras Which Are Inductive Limits of Continuous-trace C*-algebras with Spectrum Homeomorphic to the Closed Interval [0,1]
A classification is given of certain separable nuclear C*algebras not necessarily of real rank zero, namely, the class of separable simple C*-algebras which are inductive limits of continuoustrace C*-algebras whose building blocks have spectrum homeomorphic to the closed interval [0, 1], or to a disjoint union of copies of this space. Also, the range of the invariant is calculated. 1991 Mathema...
متن کاملA Classification of Tracially Approximate Splitting Interval Algebras. I. The Building Blocks and the Limit Algebras
Motivated by Huaxin Lin’s axiomatization of AH-algebras, the class of TASI-algebras is introduced as the class of unital C*-algebras which can be tracially approximated by splitting interval algebras—certain sub-C*-algebras of interval algebras. It is shown that the class of simple separable nuclear TASI-algebras satisfying the UCT is classified by the Elliott invariant. As a consequence, any s...
متن کاملA Classification of Tracially Approximate Splitting Interval Algebras. III. Uniqueness Theorem and Isomorphism Theorem
Motivated by Huaxin Lin’s axiomatization of AH-algebras, the class of TASI-algebras is introduced as the class of unital C*-algebras which can be tracially approximated by splitting interval algebras—certain sub-C*-algebras of interval algebras. It is shown that the class of simple separable nuclear TASI-algebras satisfying the UCT is classified by the Elliott invariant. As a consequence, any s...
متن کامل