Jean-Louis Loday - Cyclic Homology
| Schrijver: | Jean-Louis Loday |
|---|---|
| Titel: | Cyclic Homology |
| ISBN: | 9783540533399 |
| Uitgever: | Springer Berlin Heidelberg |
| Bijzonderheden: | Goed, 1992, Gekartonneerd, 454p |
| Prijs: | € 75,00 |
| Verzendkosten: | € 3,50 (binnen Nederland) |
| Meer info: |
This book is a comprehensive study of cyclic homologytheory. The first partdeals with Hochschild and cyclichomology of associative algebras, their variations (periodictheory, dihedral theory) and the comparison with de Rhamcomology theory. The second part deals with cyclic sets, cyclic spaces, their relationships with S DEGREES1-equivarianthomology and the Chern character of Connes. The third partis devoted to the homology of the Lie algebra of matrices(the Loday-Quillen-Tsygan theorem) and its variations(namely non-commutative Lie homology). The fourth part is anaccount of algebraic K-theory and its relationship to cyclichomology. The last chapter is an overview of someapplications tonon-commutative differential geometry(foliations, Novikov conjecture, idempotent conjecture) asdevised by Alain Connes. Most of the results treated in thisbook have already appeared in research articles. Howeversome are new (non-commutative Lie homology for instance) andmany proofs are either more explicit or simpler than theexisting ones. Though this book was thought of a basicreference for researchers, several part of it are accessibleto graduate students, since the material is almost selfcontained. It also contains a comprehensive list ofreferences on the subject.
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