Uniqueness up to unitary conjugacy holds for nuclear maps from separable exact C*-algebras satisfying the UCT into ultraproducts of finite factors when the maps agree on traces and total K-theory.
Nuclear C*-algebras: 99 problems
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
We present a collection of questions related to the structure and classification of nuclear C*-algebras.
fields
math.OA 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Twisted reduced group C*-algebras of amenable groups are selfless precisely when the pair satisfies Kleppner's condition, with the same holding for inclusions of normal subgroups under the relative condition.
Constructs equivariant E-theory and a natural Baum-Connes assembly map for Fell bundles of inverse semigroups, covering maximal, reduced, and essential cases with applications to groupoids and Cartan pairs.
C*-algebras with stable rank one and tracial local homogeneity satisfy uniform property Γ, which implies they satisfy the Toms-Winter conjecture.
citing papers explorer
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Uniqueness for embeddings of nuclear $C^*$-algebras into type II$_{1}$ factors
Uniqueness up to unitary conjugacy holds for nuclear maps from separable exact C*-algebras satisfying the UCT into ultraproducts of finite factors when the maps agree on traces and total K-theory.
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Selflessness for twisted group C*-algebras of amenable groups and their inclusions
Twisted reduced group C*-algebras of amenable groups are selfless precisely when the pair satisfies Kleppner's condition, with the same holding for inclusions of normal subgroups under the relative condition.
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A Baum-Connes assembly map for essential semigroup crossed products
Constructs equivariant E-theory and a natural Baum-Connes assembly map for Fell bundles of inverse semigroups, covering maximal, reduced, and essential cases with applications to groupoids and Cartan pairs.
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Stable rank one, tracial local homogeneity and uniform property $\Gamma$
C*-algebras with stable rank one and tracial local homogeneity satisfy uniform property Γ, which implies they satisfy the Toms-Winter conjecture.