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 ...

Let A be a C*-algebra, Z the center of A, and K the Pedersen ideal of A. It is proved that if ZA is dense in A, then K is equal to (K ⋂ Z)A. It is known from the Dauns-Hofmann representation theory ...

We establish the MF property of the reduced group C*-algebra of an amalgamated free product of countable abelian discrete groups. This result is then used to give a characterization of the amalgamated ...

Operator algebras and functional analysis form a foundational framework in modern mathematics, interlinking abstract algebraic structures with analytic techniques to study infinite‐dimensional spaces.

Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...