Krein C*-modules
Paolo Bertozzini, Kasemsun Rutamorn
TL;DR
This paper introduces Krein C*-modules over C*-algebras and Krein C*-algebras, exploring their properties and categorical structures to expand the mathematical framework of operator modules.
Contribution
It presents the first formal definition of Krein C*-modules and investigates their fundamental properties and categorical aspects.
Findings
Krein C*-modules are well-defined over C*-algebras.
Properties of Krein C*-modules are systematically analyzed.
Categorical structures of Krein C*-modules are explored.
Abstract
We introduce a notion of Krein C*-module over a C*-algebra and more generally over a Krein C*-algebra. Some properties of Krein C*-modules and their categories are investigated.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Holomorphic and Operator Theory