Representations of Quantized Differential Forms in Non-Commutative Geometry

Joachim Cuntz
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Joachim Cuntz: Mathematisches Institut d. Universität Heidelberg

A chapter in Mathematical Physics X, 1992, pp 237-251 from Springer

Abstract: 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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-77303-7_17

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DOI: 10.1007/978-3-642-77303-7_17

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