On the Lefschetz problem in noncommutative geometry.

DOI10.1016/S0723-0869(03)80007-5zbMath1045.46045MaRDI QIDQ1812472

Moulay Tahar Benameur

Publication date: 28 October 2003

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebra\(K\)-theorycyclic homologyequivariantLefschetz

Mathematics Subject Classification ID

Noncommutative topology (46L85)

Cites Work

• Cyclic homology and equivariant theories
• Excision in cyclic homology and in rational algebraic K-theory
• Cyclic cohomology and the family Lefschetz theorem
• A Lefschetz theorem for foliated manifolds
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• On the Chern character of a theta-summable Fredholm module
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• A longitudinal Lefschetz theorem in \(K\)-theory
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• The local index formula in noncommutative geometry
• The index of elliptic operators. I
• The index of elliptic operators. II
• \(C^*\)-algebras of almost periodic pseudo-differential operators
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• Equivariant cyclic homology and equivariant differential forms
• Noncommutative manifolds, the instanton algebra and isospectral deformations
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