In this paper, we prove that into isometries and disjointness preserving linear maps from C0(X) into C0(Y ) are essentially weighted composition operators Tf = h · f ◦ φ for some continuous map φ and some continuous scalar-valued function h.

By means of numerical simulations and epidemic analysis, the transition point of the stochastic asynchronous susceptible-infected-recovered model on a square lattice is found to be c0=0.1765005(10), where c is the probability a chosen infected site spontaneously recovers rather than tries to infect one neighbor. This point corresponds to an infection/recovery rate of λ(c)=(1-c0)/c0=4.665 71(3) ...

Let the discrete group G act properly and isometrically on the Riemannian manifold X. Let C0(X, δ) be the section algebra of a smooth locally trivial G-equivariant bundle of elementary C∗-algebras representing an element δ of the Brauer group BrG(X). Then C0(X, δ ) ⋊ G is KK-theoretically Poincaré dual to ( C0(X, δ)⊗̂C0(X)Cτ (X) ) ⋊ G, where δ is the inverse of δ in the Brauer group. We deduce t...

This work introduces operator space analogues of the Separable Extension Property (SEP) for Banach spaces; the Complete Separable Extension Property (CSEP) and the Complete Separable Complemention Property (CSCP). The results use the technique of a new proof of Sobczyk’s Theorem, which also yields new results for the SEP in the non-separable situation, e.g., (⊕∞ n=1 Zn)c0 has the (2 + ε)-SEP fo...

Both boundary maps in K-theory are expressed in terms of surjections from projective C∗-algebras to semiprojective C∗-algebras. 1. Noncommutative Cells and Boundaries Cells are absolute retracts that tie together spheres of different dimensions. The analog of an absolute retract for a C-algebra is being projective. For better or worse, in the category of all C-algebras, we lose the projectivity...

Abstract. Suitable macroscopic quantities are identified and used to assess the field distribution within a composite specimen of finite size with random microstructure. Composites made of N anisotropic dielectric materials are considered. The characteristic length scale of the microstructure relative to the length scale of the specimen is denoted by ε and realizations of the random composite m...

BACKGROUND The American Joint Committee on Cancer (AJCC) has proposed the inclusion of pretreatment serum carcinoembryonic antigen (CEA) level (C-stage) into the conventional TNM staging system of colon cancer. We assessed the prognosis of various stages of colon cancer after such an inclusion. METHODS Data for all patients (N = 17 910) diagnosed with colonic adenocarcinoma (AJCC stages I, II...