The trace space of any surface group is the Poulsen simplex.
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5 Pith papers cite this work. Polarity classification is still indexing.
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If (G,H) has relative property (T) and H-actions on von Neumann algebras of extremal invariant traces are ergodic, then the simplex T(A)^G of G-invariant traces is Bauer.
Equivalence of real rank zero in l^∞(A)/J_A with tracial almost divisibility and related properties, plus hyperfiniteness and real rank zero for tracial completions of stable rank one AH-algebras implying tracial strict comparison.
Factorial tracially complete C*-algebras with CPoU have real rank zero and stable rank one, giving a description of the Cuntz semigroup including for Z-stable cases.
A compilation of 99 open problems in the structure and classification of nuclear C*-algebras.
citing papers explorer
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Characters of surface groups
The trace space of any surface group is the Poulsen simplex.
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Invariant trace simplices and relative property (T)
If (G,H) has relative property (T) and H-actions on von Neumann algebras of extremal invariant traces are ergodic, then the simplex T(A)^G of G-invariant traces is Bauer.
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Divisibility and Real Rank Zero
Equivalence of real rank zero in l^∞(A)/J_A with tracial almost divisibility and related properties, plus hyperfiniteness and real rank zero for tracial completions of stable rank one AH-algebras implying tracial strict comparison.
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The real and stable rank of tracially complete C*-algebras
Factorial tracially complete C*-algebras with CPoU have real rank zero and stable rank one, giving a description of the Cuntz semigroup including for Z-stable cases.
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Nuclear C*-algebras: 99 problems
A compilation of 99 open problems in the structure and classification of nuclear C*-algebras.