Separability idempotents in C*-algebras
Quantum Algebra
2017-09-26 v2
Abstract
In this paper, we study the notion of a separability idempotent in the C*-algebra framework. This is analogous to the notion in the purely algebraic setting, typically considered in the case of (finite-dimensional) algebras with identity, then later also considered in the multiplier algebra framework by the second-named author. The current work was motivated by the appearance of such objects in the authors' ongoing work on locally compact quantum groupoids.
Keywords
Cite
@article{arxiv.1609.04132,
title = {Separability idempotents in C*-algebras},
author = {Byung-Jay Kahng and Alfons Van Daele},
journal= {arXiv preprint arXiv:1609.04132},
year = {2017}
}
Comments
Some updates made in sections 4 and 5; Corrected typos; Accepted to appear in Journal of Noncommutative Geometry