Characterizations of categories of commutative C*-algebras

Mathematics – Operator Algebras

Scientific paper

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17 pages

Scientific paper

A categorification of Piron's problem is solved by characterizing the
category of injective *-homomorphisms between commutative C*-subalgebras of
various C*-algebras, namely C*-algebras of operators on separable Hilbert
spaces, any finite-dimensional C*-algebra, and any commutative C*-algebra.

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