An Introduction to the Classification of Amenable C-Algebras

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Crossed products by finite group actions with the Rokhlin property (2007, background): “2 of [19] implies that every unital AT algebra as defined there is a unital local C-algebra in our sense.”
The tracial Rokhlin property for actions of finite groups on C*-algebras (2006, background): “2 of [16] and the choice of f that e−h - 1− f - r q2.”
A CLASS OF C*-ALGEBRAS GENERALIZING BOTH GRAPH ALGEBRAS AND HOMEOMORPHISM C*-ALGEBRAS II, EXAMPLES (2006, background): “diagonal ∗-homomorphisms. In particular, all simple real rank zero AT-algebras and all Goodearl algebras appear as C ∗ -algebras of topological graphs (see, [ Li , Theorem 4.7.5] and [RS, Example 3.1.7]).”
The Cuntz semigroup as an invariant for C*-algebras (2007, background): “) In particular, if A is a separable, simple, AH algebra of stable rank one (for instance, by [11], if A has an AH inductive limit decomposition with diagonal maps between building blocks), and if A has the same Cuntz semigroup as a real rank zero AH algebra with an AH inductive limit decomposition ”