Operator Algebras
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: closed (31 May 2020) | Viewed by 1606
Special Issue Editor
Interests: operator algebras; structure and classification of C*-algebras; invariants of C*-algebras
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
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- operator algebras
- structure and classification of C*-algebras
- invariants of C*-algebras