Abstract
We give a survey of cyclic homology/cohomology theory including a detailed discussion of cyclic theories for various classes of topological algebras. We show how to associate cyclic classes with Fredholm modules and K-theory classes and how to construct a completely general bivariant Chern-Connes character from bivariant K-theory to bivariant cyclic theory.
Keywords
- Topological Algebra
- Chern Character
- Homotopy Equivalent
- Cyclic Homology
- Hochschild Homology
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© 2004 Springer-Verlag Berlin Heidelberg
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Cuntz, J. (2004). Cyclic Theory and the Bivariant Chern-Connes Character. In: Doplicher, S., Longo, R. (eds) Noncommutative Geometry. Lecture Notes in Mathematics, vol 1831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39702-1_2
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DOI: https://doi.org/10.1007/978-3-540-39702-1_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20357-5
Online ISBN: 978-3-540-39702-1
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