Symmetric Spectra and Topological Hochschild Homology

نویسنده

  • BROOKE SHIPLEY
چکیده

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 Bökstedt’s original ad hoc definition. In particular, this shows that Bökstedt’s definition is correct even for non-connective, non-convergent symmetric ring spectra. Mathematics Subject Classifications (1991): 55P42, 19D99, 55U35.

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تاریخ انتشار 2000