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Contents
Contents
Cyclic Homology Theory
Jean-Louis Loday
October 2006
Contents
Cyclic category
Circle and disk as a cell complexes
Simplicial sets
Fibrations
Cyclic category
Noncommutative sets
Adjoint functors
Generic example of a simplicial set
Simplicial modules
Bicomplexes
Spectral sequences
Cyclic homology
The cyclic bicomplex
Characteristic 0 case
Computations
Periodic and negative cyclic homology
Harrison homology
Derived functors
Relation with K-theory
K-theory
Trace map
Algebraic K-theory
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Pawel Witkowski 2006-11-07
