Introduces tracially reflexive C*-algebras, proves the property for all commutative C*-algebras and all separable dimension-zero ones, and shows it is preserved under inductive limits via Cuntz semigroup and weak Schröder-Simpson criteria.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Develops new algebraic tools for the Nielsen-Thomsen sequence to compare *-homomorphisms at Hausdorffized K1 and Cuntz levels and applies them to C*-algebra classification.
citing papers explorer
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Tracially reflexive C*-algebras
Introduces tracially reflexive C*-algebras, proves the property for all commutative C*-algebras and all separable dimension-zero ones, and shows it is preserved under inductive limits via Cuntz semigroup and weak Schröder-Simpson criteria.
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On the Nielsen-Thomsen sequence
Develops new algebraic tools for the Nielsen-Thomsen sequence to compare *-homomorphisms at Hausdorffized K1 and Cuntz levels and applies them to C*-algebra classification.