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Cyclic homology for bornological coarse spaces

URN to cite this document:
urn:nbn:de:bvb:355-epub-446690
DOI to cite this document:
10.5283/epub.44669
Caputi, Luigi
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Date of publication of this fulltext: 02 Feb 2021 13:56


Abstract

The goal of the paper is to define Hochschild and cyclic homology for bornological coarse spaces, i.e., lax symmetric monoidal functors XHHG and XHCG from the category GBornCoarse of equivariant bornological coarse spaces to the cocomplete stable infinity-category Ch(infinity) of chain complexes reminiscent of the classical Hochschild and cyclic homology. We investigate relations to coarse ...

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