Transgression and the Chern character of finite-dimensional K-cycles
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Publication:1308454
DOI10.1007/BF02100052zbMath0793.58006OpenAlexW2022591397MaRDI QIDQ1308454
Publication date: 8 December 1993
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02100052
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and homology; cyclic homology and cohomology (19D55) Fredholm structures on infinite-dimensional manifolds (58B15) Exotic index theories on manifolds (58J22) Foliations (differential geometric aspects) (53C12)
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Cites Work
- Unnamed Item
- Unnamed Item
- Algebra cochains and cyclic cohomology
- Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
- On the Chern character of \(\theta \) summable Fredholm modules
- Quantum K-theory. II: Homotopy invariance of the Chern character
- Cyclic homology and the Lie algebra homology of matrices
- Non-commutative differential geometry
- Some algebraic properties of cyclic homology groups
- Quantum K-theory. I: The Chern character
- Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
- On the Chern character of a theta-summable Fredholm module
- Cyclic cohomology, the Novikov conjecture and hyperbolic groups