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Hochschild and cyclic homology of an almost commutative cochain algebra associated to a nilmanifold

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Part of the book series: Progress in Mathematics ((PM,volume 136))

Abstract

A nilmanifold, as defined by Malcev [Ma], is a compact manifold N which is the space of cosets of a simply connected Lie group by discrete uniform subgroup G. Thus the manifold N can be identified with the Eilenberg-MacLane space K(G, 1), where G = π1 (N) is a finitely generated torsion free nilpotent group.

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© 1996 Birkhäuser Verlag

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Cenkl, B., Vigué-Poirrier, M. (1996). Hochschild and cyclic homology of an almost commutative cochain algebra associated to a nilmanifold. In: Broto, C., Casacuberta, C., Mislin, G. (eds) Algebraic Topology: New Trends in Localization and Periodicity. Progress in Mathematics, vol 136. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9018-2_6

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  • DOI: https://doi.org/10.1007/978-3-0348-9018-2_6

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9869-0

  • Online ISBN: 978-3-0348-9018-2

  • eBook Packages: Springer Book Archive

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