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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Two classes of algebras with infinite Hochschild homology


Authors: Andrea Solotar and Micheline Vigué-Poirrier
Journal: Proc. Amer. Math. Soc. 138 (2010), 861-869
MSC (2010): Primary 16E40, 16W50
Published electronically: November 2, 2009
MathSciNet review: 2566552
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Abstract: We prove without any assumption on the ground field that higher Hochschild homology groups do not vanish for two large classes of algebras whose global dimension is not finite.


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Andrea Solotar
Affiliation: Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1 1428, Buenos Aires, Argentina
Email: asolotar@dm.uba.ar

Micheline Vigué-Poirrier
Affiliation: Laboratoire Analyse, Géométrie et Applications, UMR CNRS 7539, Institut Galilée, Université Paris 13, F-93430 Villetaneuse, France
Email: vigue@math.univ-paris13.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10168-5
PII: S 0002-9939(09)10168-5
Keywords: Global dimension, Hochschild homology theory
Received by editor(s): June 12, 2009
Received by editor(s) in revised form: August 16, 2009
Published electronically: November 2, 2009
Additional Notes: This work was supported by the projects UBACYTX212 and PIP-CONICET 5099. The first author is a research member of CONICET (Argentina) and a Regular Associate of ICTP Associate Scheme.
The second author is a research member of University of Paris 13, CNRS, UMR 7539 (LAGA)
Communicated by: Martin Lorenz
Article copyright: © Copyright 2009 American Mathematical Society