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.
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© 1992 Springer-Verlag Berlin Heidelberg
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Cuntz, J. (1992). Representations of Quantized Differential Forms in Non-Commutative Geometry. In: Schmüdgen, K. (eds) Mathematical Physics X. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77303-7_17
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DOI: https://doi.org/10.1007/978-3-642-77303-7_17
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