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Hochschild and cyclic homology for bornological coarse spaces

Caputi, Luigi (2019) Hochschild and cyclic homology for bornological coarse spaces. PhD, Universität Regensburg.

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Date of publication of this fulltext: 17 May 2019 12:32

Abstract (English)

The main goal of the thesis is to construct equivariant coarse versions of the classical Hochschild and cyclic homologies of algebras. These are lax symmetric monoidal functors from the category of equivariant bornological coarse spaces to the cocomplete stable ∞-category of chain complexes and are called equivariant coarse Hochschild and cyclic homology. If k is a field, the evaluation at the ...


Translation of the abstract (German)

Ziel der Arbeit ist es, eine Hochschild- und eine zyklische Homologie für bornologische Grobräume zu konstruieren. Im zweiten Teil der Arbeit konstruieren wir Abbildung zur coarse algebraischen K-Theorie und zur coarse ordinary Homologie. Wir schließen mit einigen Untersuchungen zu Baugruppenkarten und Lokalisierungseigenschaften.

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Item type:Thesis of the University of Regensburg (PhD)
Date:17 May 2019
Referee:Prof. Dr. Ulrich Bunke and Prof. Dr. Denis-Charles Cisinski
Date of exam:2 May 2019
Keywords:Hochschild homology, cyclic homology, coarse geometry, bornological coarse spaces.
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:40219
Owner only: item control page


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