Homology and cohomology of associative algebras. A concise introduction to cyclic homology

Christian Kassel (1)

1 IRMA - Institut de Recherche Mathématique Avancée

These are notes for a course given in the Advanced School on Non-commutative Geometry held at ICTP, Trieste in August 2004. In these notes (37 pages) we define certain (co)homological invariants for associative algebras such as Hochschild (co)homology, cyclic (co)homology, algebraic K-theory, and we exhibit the connections between these invariants.

Domaines: Mathématiques [math]

Christian Kassel. Homology and cohomology of associative algebras. A concise introduction to cyclic homology. École thématique. Août 2004 à ICTP, Trieste (Italie), 2006. ⟨cel-00119891⟩