Fields- Cyclic Cohomology at 40: achievements and future prospects

  1. Title:
    Cyclic homology and group actions on manifolds.

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  2. Title:
    Cyclic cohomology and Topological K-theory for discrete groups, the Chern-Baum-Connes pairing formula

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  3. Title:
    Polynomially Bounded Cohomology and Virtually Nilpotent Groups

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  4. Title:
    On the Hochschild homology of convolution algebras of proper Lie groupoids

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  5. Title:
    A short proof of the Feigin-Tsygan theorem

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  6. Title:
    Connes character formula for locally compact spectral triples

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  7. Title:
    The Heisenberg calculus and cyclic cohomology.

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  8. Title:
    On convolution algebras attached to hyperbolic groups

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  9. Title:
    Cyclic cocycles in the spectral action and one-loop corrections

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  10. Title:
    Nonarchimedean Analytic Cyclic Homology

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  11. Title:
    Real K-theories

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  12. Title:
    Hopf cyclic cohomology

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  13. Title:
    Topological cyclic homology and the Fargues-Fontaine curve

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  14. Title:
    Local index formula in Noncommutative Geometry and Hopf-cyclic cohomology

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  15. Title:
    Proper action of Lie groups, cyclic cohomology and index theory

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  16. Title:
    Cyclic Cohomology for Proper Lie Group Actions

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  17. Title:
    Applications of topological cyclic homology in algebraic K-theory

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  18. Title:
    Pushing cyclic cocycles over Sobolev domains and the extraordinary consequences for materials science

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  19. Title:
    Rigidity of periodic cyclic complexes and Getzler's Gauss-Manin connection over the p-adics

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  20. Title:
    Cyclic cohomology and higher invariants of elliptic differential operators

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