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Topological Hochschild homology and the cyclic bar construction in symmetric spectra


Authors: Irakli Patchkoria and Steffen Sagave
Journal: Proc. Amer. Math. Soc. 144 (2016), 4099-4106
MSC (2010): Primary 55P43; Secondary 19D55
DOI: https://doi.org/10.1090/proc/13037
Published electronically: March 17, 2016
MathSciNet review: 3513565
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Abstract: The cyclic bar construction in symmetric spectra and Bökstedt's original construction are two possible ways to define the topological Hochschild homology of a symmetric ring spectrum. In this short note we explain how to correct an error in Shipley's original comparison of these two approaches.


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Additional Information

Irakli Patchkoria
Affiliation: Department of Mathematical Sciences, University of Copenhagen, Universitets- parken 5, 2100 Copenhagen Ø, Denmark
Email: irakli.p@math.ku.dk

Steffen Sagave
Affiliation: Radboud University Nijmegen, IMAPP, P.O. Box 9010, 6500 GL Nijmegen, The Netherlands
Email: s.sagave@math.ru.nl

DOI: https://doi.org/10.1090/proc/13037
Received by editor(s): August 24, 2015
Received by editor(s) in revised form: November 17, 2015
Published electronically: March 17, 2016
Additional Notes: The first author was supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92).
Communicated by: Michael A. Mandell
Article copyright: © Copyright 2016 American Mathematical Society

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