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On excision in periodic cyclic cohomology. II: The general case. (English. Abridged French version) Zbl 0803.18008

Using the results of the previous paper (see the preceding review), the authors show that any exact sequence \[ 0 \longrightarrow J \longrightarrow A \longrightarrow A/J \longrightarrow 0 \] of algebras over a field of characteristic zero induces a six-term exact sequence connecting the periodic cyclic cohomology groups of \(J\), \(A\) and \(A/J\).

MSC:

18G60 Other (co)homology theories (MSC2010)
16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
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