Topological Hochschild homology of twisted group algebras

Vera, Daniel

doi:10.1090/S0002-9947-09-04572-3

Topological Hochschild homology of twisted group algebras
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by Daniel J. Vera

Trans. Amer. Math. Soc. 362 (2010), 1113-1133

DOI: https://doi.org/10.1090/S0002-9947-09-04572-3

Published electronically: October 20, 2009

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Abstract:

We show that the topological Hochschild homology spectrum of a twisted group algebra $\operatorname {THH}(A^{\tau }[G])$ is the Thom spectrum associated with a parametrized orthogonal spectrum $E(A,G)$. We then analyze the structure of the parametrized orthogonal spectrum $E(A,G)$ and show that it is locally trivial.

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