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Cyclic homology and homology of the Lie algebra of matrices. (Homologie cyclique et homologie de l’algèbre de Lie des matrices.) (French) Zbl 0536.17006
Summary: For any associative algebra over a field of characteristic zero it is shown that the primitive part of the homology of the Lie algebra of matrices is isomorphic to the cyclic homology (or Connes homology) of the algebra. A stability theorem for the homology of the Lie algebra of matrices is also demonstrated.

MSC:
17B55 Homological methods in Lie (super)algebras
15A30 Algebraic systems of matrices
57T05 Hopf algebras (aspects of homology and homotopy of topological groups)
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