Cyclic Homology
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Beschreibung
In this 2nd edition a new chapter 13 on MacLane (co)homology is added. It is compared with a variant of algebraic K-theory called stable K-theory. It turns out that these two theories are isomorphic. The main tool for this comparison is a third theory constructed from derived functors over the category of polynomial functors. This chapter is a transition from the content of the first 12 ch.
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 approaches A comprehensive monograph from a unified point of view There is no competitive work available
Autor*in
Jean-Louis Loday
Themen in »Cyclic Homology«
Algebra Algebraic K-Theory Homology Theory Invariant K-theory algebra Algebras Non-commutative Differential Geometry Topology commutative property geometry homological algebra homology
Stimmen zu »Cyclic Homology«
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 (in the last chapter) 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 co
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