Symmetric Spectra and Topological Hochschild Homology

  title={Symmetric Spectra and Topological Hochschild Homology},
  author={Brooke E. Shipley},
A functor is defined which detects stable equivalences of symmetric spectra. As an application, the definition of topological Hochschild homology on symmetric ring spectra using the Hochschild complex is shown to agree with B ̈ okstedt’s original ad hoc definition. In particular, this shows that B ̈ okstedt’s definition is correct even for non-connective, non-convergent symmetric ring spectra. Mathematics Subject Classifications ( 1991):55P42, 19D99, 55U35. 
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