Approximately Finite C*-Algebras and Partial Automorphisms
Ruy Exel

TL;DR
This paper demonstrates that all approximately finite-dimensional C*-algebras can be represented as crossed products of commutative AF-algebras by partial automorphisms, with detailed analysis for UHF-algebras.
Contribution
It establishes a new structural characterization of AF-algebras as crossed products involving partial automorphisms.
Findings
Every AF-algebra is isomorphic to a crossed product of a commutative AF-algebra by a partial automorphism.
Detailed treatment of the case of UHF-algebras.
Provides a new perspective on the structure of AF-algebras.
Abstract
We prove that every AF-algebra is isomorphic to a crossed product of a commutative AF-algebra by a partial automorphism. The case of UHF-algebras is treated in detail.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models
