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math.ATOct 1, 2004
28
citations (OpenAlex)
authors
  • M. Brun
  • Z. Fiedorowicz
  • R. M. Vogt
institutions
  • Osnabrück University
  • The Ohio State University
  • University of Bergen
arXiv abstractPDF
paper

On the Multiplicative Structure of Topological Hochschild Homology

arXiv:math/0410367 · doi:10.2140/agt.2007.7.1633

Abstract

We show that the topological Hochschild homology THH(R of an E_n-ring spectrum R is an E_{n-1}-ring spectrum. The proof is based on the fact that the tensor product of the operad Ass for monoid structures and the the little n-cubes operad is an E_{n+1}-operad, a result which is of independent interest.

19 pages. Revised version with complete proofs

Cited by in corpus (15)

  • Topological Hochschild homology of Thom spectra and the free loop space
  • Koszul duality of E_n-operads
  • Homology of E_n Ring Spectra and Iterated THH
  • The Segal conjecture for topological Hochschild homology of complex cobordism
  • Rational algebraic K-theory of topological K-theory
  • E_n Genera
  • Cubical and cosimplicial descent
  • An Additivity Theorem for the Interchange of E_n Structures
  • Operads, modules and topological field theories
  • Towards topological Hochschild homology of Johnson-Wilson spectra
  • On the algebraic K-theory of Witt vectors of finite length
  • The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum
  • Topological Hochschild homology of truncated Brown-Peterson spectra I
  • The relative lattice path operad
  • Steenrod operations on bar complex
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