The paper introduces singular value functions for C*-algebras that generalize singular values of compact operators and establishes their basic properties with examples.
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Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.
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Singular value functions for C\(^*\)-algebras
The paper introduces singular value functions for C*-algebras that generalize singular values of compact operators and establishes their basic properties with examples.
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Isomoprhism of generalized Bratteli diagrams
Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.