The fine structure on the Kasparov groups. II: Topologizing the UCT

DOI10.1006/JFAN.2002.3949zbMath1029.19004arXivmath/0107071OpenAlexW2140071368MaRDI QIDQ1865302

Claude L. Schochet

Publication date: 26 March 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107071

zbMATH Keywords

bivariant \(K\)-theoryuniversal coefficient theoremfine structure subgroupKasparov \(KK\)-groupstopological decomposition of Kasparov groups

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Kasparov theory ((KK)-theory) (19K35)

Related Items (6)

Topologizing UCTs for unital extensions ⋮ Pseudometrics on Ext-semigroups ⋮ An approximate universal coefficient theorem ⋮ The fine structure of the Kasparov groups. I: Continuity of the KK-pairing ⋮ CLASSIFICATION OF EXTENSIONS OF A𝕋-ALGEBRAS ⋮ On the topology of the Kasparov groups and its applications

Cites Work

• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Correction to: ``The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups
• The topological snake lemma and corona algebras
• Phantom maps and homology theories
• The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• The fine structure of the Kasparov groups. I: Continuity of the KK-pairing
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