Bivariant K- and Cyclic Theories

Joachim Cuntz ()
Additional contact information
Joachim Cuntz: Universität Münster, Mathematisches Institut

Chapter IV.1 in Handbook of K-Theory, 2005, pp 655-702 from Springer

Abstract: Abstract Bivariant K-theories generalize K-theory and its dual, often called K-homology, at the same time. They are a powerful tool for the computation of K-theoretic invariants, for the formulation and proof of index theorems, for classification results and in many other instances. The bivariant K-theories are paralleled by different versions of cyclic theories which have similar formal properties. The two different kinds of theories are connected by characters that generalize the classical Chern character. We give a survey of such bivariant theories on different categories of algebras and sketch some of the applications.

Keywords: Exact Sequence; Triangulate Category; Chern Character; Positive Scalar Curvature; Cyclic Homology (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27855-9_14

Ordering information: This item can be ordered from
http://www.springer.com/9783540278559

DOI: 10.1007/978-3-540-27855-9_14

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().