Some results on the Hochschild cohomology of group algebras
Author:
A. Pourabbas
Journal:
Proc. Amer. Math. Soc. 135 (2007), 20952105
MSC (2000):
Primary 43A20; Secondary 46M20
Published electronically:
February 2, 2007
MathSciNet review:
2299486
Fulltext PDF Free Access
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Abstract: In this paper we investigate structure of the second cohomology of a discrete group . First, for a set we show that an isomorphism of vector spaces from onto exists, where is the set of orbits of . Next we define the notion of pseudoderivation and apply it for the calculation of .
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 R. Brooks, Some remarks on bounded cohomology, Riemann surfaces and related topics, Ann. of Math. Studies 97 (1981), 5363. MR 0624804 (83a:57038)
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 R. I. Grigorchuk, Some results on bounded cohomology, London Math. Soc. Lecture Note series. 203 (1995), 111163. MR 1320279 (96j:20073)
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 A. Pourabbas, Second cohomology group of group algebras with coefficients in iterated duals. Proc. Amer. Math. Soc. 132 (2004) no. 5, 14031410. MR 2053346 (2005b:43003)
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Additional Information
A. Pourabbas
Affiliation:
Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
Email:
arpabbas@aut.ac.ir
DOI:
http://dx.doi.org/10.1090/S0002993907087059
PII:
S 00029939(07)087059
Received by editor(s):
February 23, 2005
Received by editor(s) in revised form:
March 9, 2006
Published electronically:
February 2, 2007
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2007
American Mathematical Society
