References [1] B. Blackadar and E. Kirchberg. Generalized inductive limits of finite-dimensional C *-algebras. A new application of random matrices: Ext(C * red (F2)) is not a group.

Summertime convection over Arizona typically begins in the early afternoon and continues into the night. This suggests that the evolution of the daytime planetary boundary layer is important to the development of Arizona convection. If numerical models are to provide useful guidance for forecasting convection during the monsoon, then the planetary boundary layer must be simulated as accurately ...

The uncovering of new structure on the Cuntz semigroup a C*-algebra stable rank one leads to several applications: we answer affirmatively, for class rank-one C*-algebras, conjecture by Blackadar and Handelman dimension functions, global Glimm halving problem, problem realizing functions cone 2-quasitraces as ranks elements. We also gain insights into comparability properties positive elements ...

With observational data collected and interpreted by Crane et al. (1977), the adequacy of the O’Brien polynomial to represent the exchange profile of heat and pollution in a convective boundary layer is examined and a refinement suggested. Also, it is shown that the height of the surface layer, h = 0.04 zjr developed by Blackadar and Tennekes (1968) for a neutrally stratified boundary layer (wi...

We rely on the books of Boutet de Monvel and Guillemin [4], Blackadar [2] and of Beals and Greiner [1] (see also the book of Taylor ([7]). The properties of the Heisenberg algebra will be discussed more fully in a forthcoming paper of G. Mendoza and the present authors. Let ΨHe(X) be the Heisenberg algebra, of ‘parabolic’ pseudodifferential operators associated to the contact structure on X. Th...

Let $A$ be a unital simple $A\mathbb{T}$-algebra of real rank zero. Given an order two automorphism $h: K\_1(A)\to K\_1(A)$, we show that there is $\alpha$: $A\to A$ such $\alpha\_{\*0}=\mathrm {id}$, $\alpha\_{1}=h$ and the action $\mathbb{Z}\_2$ generated by $\alpha$ has tracial Rokhlin property. Consequently, $C^(A,\mathbb{Z}\_2,\alpha)$ AH-algebra with no dimension growth, Thus our main res...

We prove that the Cuntz semigroup is recovered functorially from the Elliott invariant for a large class of C∗-algebras. In particular, our results apply to the largest class of simple C∗-algebras for which K-theoretic classification can be hoped for. This work has three significant consequences. First, it provides new conceptual insight into Elliott’s classification program, proving that the u...

Let 1 ∈ A ⊂ B be an inclusion of C*-algebras of C*-index-finite type with depth 2. We try to compute topological stable rank of B (= tsr(B)) when A has topological stable rank one. We show that tsr(B) ≤ 2 when A is a tsr boundedly divisible algebra, in particular, A is a C*-minimal tensor product UHF ⊗ D with tsr(D) = 1. When G is a finite group and α is an action of G on UHF, we know that a cr...