The study of Banach spaces and operator algebras constitutes a central theme in modern functional analysis, providing a rigorous framework through which complex systems can be understood. Banach ...
Given a correspondence X over a C*-algebra A, we construct a C*-algebra $A_\infty ^X$ and a Hilbert C*-bimodule X∞ over $A_\infty ^X$ such that the augmented Cuntz ...
Since Elliotts classification of approximately finite C*-algebras it is well known that there are strong ties between classification theory and approximation theory for C*-algebras. The full depth of ...
A certain class of $\ast$-homomorphisms $C(X) \otimes A \rightarrow C(Y) \otimes B$, called compatible with a map defined on $Y$ with values in the set of all closed ...
The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...