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Titlebook: Cyclic Homology; Jean-Louis Loday Book 1998Latest edition Springer-Verlag Berlin Heidelberg 1998 Algebra.Algebraic K-Theory.Algebraic topo

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书目名称Cyclic Homology
编辑Jean-Louis Loday
视频video
概述Subject at the forefront of research.A very much needed book.Loday is well-known both as one of the leading researchers in the field and also as a very clear and precise expositor.A diversity of appro
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Cyclic Homology;  Jean-Louis Loday Book 1998Latest edition Springer-Verlag Berlin Heidelberg 1998 Algebra.Algebraic K-Theory.Algebraic topo
描述.From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes‘work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter ..In this second edition the authors have added a chapter 13 on MacLane (co)homology..
出版日期Book 1998Latest edition
关键词Algebra; Algebraic K-Theory; Algebraic topology; Homology Theory; Invariant; K-theory algebra Algebras; No
版次2
doihttps://doi.org/10.1007/978-3-662-11389-9
isbn_softcover978-3-642-08316-7
isbn_ebook978-3-662-11389-9Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1998
The information of publication is updating

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Chern Character,tion and then to calculate them. Many interesting invariants lie in the so-called .-groups. In the case of manifolds, for instance, these invariants are computed via the “Chern character”, which maps .-theory to the de Rham cohomology theory.
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Ismael A. Jannoud,Mohammad Z. Masoudct a category, denoted . and called ., such that a cyclic object in . can be viewed as a functor from .. to .. The cyclic category . was first described by Connes [1983, where it is denoted . or .] who showed how it is constructed out of . and the finite cyclic groups.
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K. B. Irani,V. L. Wallace,J. H. JacksonThere are at least three ways to construct cyclic homology from Hochschild homology. First, in his search for a non-commutative analogue of de Rham homology theory, A. Connes discovered in 1981 the following striking phenomenon:
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https://doi.org/10.1007/978-1-4419-8530-9How does Hochschild and cyclic homology behave with respect to tensor products and with respect to operations performed on the defining complexes? This is the subject of the present chapter.
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https://doi.org/10.1007/978-3-031-56700-1In the comparison of the homology of the Lie algebra of matrices with cyclic homology one of the key points is the following result which pertains to invariant theory: there is an isomorphism
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