Topologizing UCTs for unital extensions

DOI10.1007/s43037-020-00075-wzbMath1455.46059OpenAlexW3036661010MaRDI QIDQ2192892

Shudong Liu, Junping Liu, ChangGuo Wei

Publication date: 21 August 2020

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-020-00075-w

zbMATH Keywords

C*-algebrauniversal coefficient theoremKasparov theoryExt-theoryunital extension

Mathematics Subject Classification ID

Structure of general topological groups (22A05) (K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Ext and (K)-homology (19K33)

Cites Work

• Classification of extensions of torus algebra. II
• Isomorphism of extensions of \(C(\mathbb{T} ^{2})\)
• Quotient semigroups and extension semigroups
• Hereditary C\(^*\)-subalgebras and comparison of positive elements
• Universal coefficient theorems for the stable Ext-groups
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Kasparov's bivariant \(K\)-theory and applications
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Homotopy invariance of Ext\((\mathcal A)\)
• Classification of unital extensions of \(A\mathbb T\)-algebras
• The fine structure on the Kasparov groups. II: Topologizing the UCT
• The Ext-group of unitary equivalence classes of unital extensions
• On the structure of multiplier algebras
• On the topology of the Kasparov groups and its applications
• On absorbing extensions
• CLASSIFICATION OF EXTENSIONS OF A𝕋-ALGEBRAS
• Unitary equivalences for essential extensions of $C^*$-algebras
• Pseudometrics on Ext-semigroups
• Operator algebras and algebraic $K$-theory
• Group Extensions and Cohomology for Locally Compact Groups. III
• Extensions of 𝐶*-algebras, operators with compact self-commutators, and 𝐾-homology
• Extensions of C *-Algebras and Quasidiagonality
• THE UNITAL EXT-GROUPS AND CLASSIFICATION OFC*-ALGEBRAS
• The fine structure of the Kasparov groups. I: Continuity of the KK-pairing
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