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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

Topological Hochschild homology of twisted group algebras

Author(s): Daniel J. Vera
Journal: Trans. Amer. Math. Soc. 362 (2010), 1113-1133.
MSC (2000): Primary 55-xx
Posted: October 20, 2009
MathSciNet review: 2563723
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Abstract | References | Similar articles | Additional information

Abstract: We show that the topological Hochschild homology spectrum of a twisted group algebra $ \operatorname{THH}(A^{\tau}[G])$ is the Thom spectrum associated with 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.


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Additional Information:

Daniel J. Vera
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

DOI: 10.1090/S0002-9947-09-04572-3
PII: S 0002-9947(09)04572-3
Received by editor(s): June 1, 2006
Posted: October 20, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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