Operator Algebras
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: closed (31 May 2020) | Viewed by 2149
Special Issue Editor
Special Issue Information
Dear Colleagues,
Operator algebras were initially introduced by von Neumann within the mathematical formalism of quantum mechanics. To this day, the field of operator algebras has maintained a rich interplay with mathematical physics, as well as with other branches of mathematics, such as dynamical systems, harmonic analysis, and algebraic topology.
For almost three decades now, a great deal of research has focused on the classification of simple amenable C*-algebras. This work has grown hand in hand with broader investigations into the structure of C*-algebras and their invariants such as K-theory and KK-theory. The classification program has seen tremendous advances in recent years. Some of the questions that it brought forth have now been answered in the works of Elliott, Gong, Lin, Niu, Tikuisis, Sato, White, Winter, and others. This progress has come with new insights that indicate a way forward. Regularity properties such as finite non-commutative dimension and Blackadar's strict comparison have significance beyond the classification program, and should be prevalent in C*-algebraic constructions, e.g., in C*-dynamical systems, group C*-algebras, etc.
This Special Issue aims to reflect the vitality of the field of operator algebras and its manifold connections to other branches of mathematics.
Prof. Dr. Leonel Robert
Guest Editor
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Keywords
- operator algebras
- structure and classification of C*-algebras
- invariants of C*-algebras
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