𝐶*-algebras and differential topology

DOI10.1090/S0273-0979-1985-15312-1zbMath0555.58025MaRDI QIDQ3218847

Jerome Kaminker

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

index theoremsmooth structuresdifferential structureK-functorKasparov group0th-order pseudodifferential operatorsConnes-Scandalis map

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Differentiable structures in differential topology (57R55)

Cites Work

• The longitudinal index theorem for foliations
• Evaluation of the transfer and the universal surgery classes
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Pseudo-Differential Operators and Differential Structures--II
• Pseudodifferential operators and differential structures. I
• Unnamed Item

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