An interpretation of E n -homology as functor homology |
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| Authors: | Muriel Livernet Birgit Richter |
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| Affiliation: | 1. Universit?? Paris 13, CNRS, UMR 7539 LAGA, 99 avenue Jean-Baptiste Cl??ment, 93430, Villetaneuse, France
2. Fachbereich Mathematik der Universit?t Hamburg, Bundesstra?e 55, 20146, Hamburg, Germany
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| Abstract: | We prove that E n -homology of non-unital commutative algebras can be described as functor homology when one considers functors from a certain category of planar trees with n levels. For different n these homology theories are connected by natural maps, ranging from Hochschild homology and its higher order versions to Gamma homology. |
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