
arXiv: 1609.04132
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.
locally compact quantum groupoid, Hopf algebras and their applications, 16T05, 46L89, 46L51, Noncommutative measure and integration, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Mathematics - Quantum Algebra, FOS: Mathematics, separability idempotent, Quantum Algebra (math.QA), weak multiplier Hopf algebra, Topological groupoids (including differentiable and Lie groupoids)
locally compact quantum groupoid, Hopf algebras and their applications, 16T05, 46L89, 46L51, Noncommutative measure and integration, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Mathematics - Quantum Algebra, FOS: Mathematics, separability idempotent, Quantum Algebra (math.QA), weak multiplier Hopf algebra, Topological groupoids (including differentiable and Lie groupoids)
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