Topological Hochschild homology of twisted group algebras

2006/06/01 by Daniel Vera, Daniel J. Vera, Vera, Daniel J.
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT

paper · pdf · doi:10.48550/arxiv.math/0606042

arxiv created 2006/06/01 · openalex publication_date 2006/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the topological Hochschild homology spectrum of a twisted group algebra \THH(A^τ[G]) is the Thom spectrum associated to 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.

Related

• Computational tools for twisted topological Hochschild homology of equivariant spectra
• Topological Hochschild Homology of K/p as a K_p^\wedge module
• Equivariant Witt Complexes and Twisted Topological Hochschild Homology
• Topological Hochschild homology of X(n)
• Topological Hochschild Homology of H(Z/p^k)