On Inductive Limits of Type-I C*-Algebras with One-Dimensional Spectrum

Inductive Limits of Subhomogeneous C∗-algebras with Hausdorff Spectrum

We consider unital simple inductive limits of generalized dimension drop C∗-algebras They are so-called ASH-algebras and include all unital simple AH-algebras and all dimension drop C∗-algebras. Suppose that A is one of these C∗-algebras. We show that A ⊗ Q has tracial rank no more than one, where Q is the rational UHF-algebra. As a consequence, we obtain the following classification result: Le...

On Type I C-algebras

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

The 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...

Blaschke Inductive Limits of Uniform Algebras

We consider and study Blaschke inductive limit algebras A(b), defined as inductive limits of disc algebras A(D) linked by a sequence b = {Bk}k=1 of finite Blaschke products. It is well known that big G-disc algebras AG over compact abelian groups G with ordered duals Γ = Ĝ ⊂Q can be expressed as Blaschke inductive limit algebras. Any Blaschke inductive limit algebraA(b) is a maximal and Dirichl...