Local cyclic homology |
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Authors: | P Seibt |
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Institution: | (1) Centre de Physique Théorique, CNRS, Luminy, Case 907, 13288 Marseille Cedex 9, France;(2) IUT, 13288 Aix-en-Provence, France |
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Abstract: | Local (cyclic) homology of filtered associative algebras is defined and discussed. In the commutative case, it fits naturally in the setting of (formal) de Rham cohomology; we thus obtain a satisfactory complement to a result of Feigin and Tsygan. There is a spectral sequence from discrete (cyclic) homology of the associated graded algebra to local (cyclic) homology of the original filtered algebra; we exhibit manageable conditions on its convergence. |
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Keywords: | Cyclic homology algebraic de Rham cohomology filtered algebras filtered algebraic S1-chain complexes |
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