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Representations of Quantized Differential Forms in Non-Commutative Geometry

In: Mathematical Physics X

Author

Listed:
  • Joachim Cuntz

    (Mathematisches Institut d. Universität Heidelberg)

Abstract

Besides giving a survey of some basic structures and ideas in K-theory and cyclic cohomology for non-commutative algebras, we describe a new way to realize algebras of abstract differential forms, over a given algebra A, and their “quantum” deformations. For this we use subalgebras and quotients of an algebra A[D, F] obtained from A by adjoining two additional elements D, F. This is closely related to the notion of a Fredholm module.

Suggested Citation

  • Joachim Cuntz, 1992. "Representations of Quantized Differential Forms in Non-Commutative Geometry," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 237-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-77303-7_17
    DOI: 10.1007/978-3-642-77303-7_17
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