Titlebook: Cyclic Homology in Non-Commutative Geometry; Joachim Cuntz,Georges Skandalis,Boris Tsygan Book 2004 Springer-Verlag Berlin Heidelberg 2004

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0938-0396 examples and new important properties such as prod­ uct structures, excision for H-unital ideals, or connections with cyclic objects and simplicial topology, were established. An excellent account of the state978-3-642-07337-3978-3-662-06444-3Series ISSN 0938-0396

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Mario Bergés,Henning Lange,Jingkun Gaoscribe these two theories and their connections. Cyclic theory can be viewed as a far reaching generalization of the classical de Rham cohomology, while bivariant .-theory includes the topological .-theory of Atiyah-Hirzebruch as a special case.

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Lecture Notes in Computer Scienceoth, holomorphic, algebraic,...). Very often those objects can be defined in a way that is applicable to any algebra A, commutative or not. Study of associative algebras by means of such objects of geometric origin is the subject of noncommutative geometry [12, 48]. The Hochschild and cyclic (co)hom

Anthology

Pushparaj Shetty D,M. Prasanna Lakshminguage; from this point of view a noncommutative manifold is represented by a noncommutative algebra which formally plays the role of the algebra of smooth functions on the ghost noncommutative manifold. The leading example is given by the noncommutative manifold ., the space of the leaves of a foli

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Cyclic Theory, Bivariant ,-Theory and the Bivariant Chern-Connes Character,scribe these two theories and their connections. Cyclic theory can be viewed as a far reaching generalization of the classical de Rham cohomology, while bivariant .-theory includes the topological .-theory of Atiyah-Hirzebruch as a special case.

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https://doi.org/10.1007/978-3-662-06444-3K-theory; algebra; cyclic homology; homology; non-commutative geometry

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