Homology and cohomology of Rees semigroup algebras
Frédéric Gourdeau; Niels Grønbæk; Michael C. White
Studia Mathematica (2011)
- Volume: 202, Issue: 2, page 105-121
- ISSN: 0039-3223
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topFrédéric Gourdeau, Niels Grønbæk, and Michael C. White. "Homology and cohomology of Rees semigroup algebras." Studia Mathematica 202.2 (2011): 105-121. <http://eudml.org/doc/285443>.
@article{FrédéricGourdeau2011,
abstract = {Let S be a Rees semigroup, and let ℓ¹(S) be its convolution semigroup algebra. Using Morita equivalence we show that bounded Hochschild homology and cohomology of ℓ¹(S) are isomorphic to those of the underlying discrete group algebra.},
author = {Frédéric Gourdeau, Niels Grønbæk, Michael C. White},
journal = {Studia Mathematica},
keywords = {cohomology; homology; simplicial cohomology; Morita equivalence; Rees semigroup; Banach algebra},
language = {eng},
number = {2},
pages = {105-121},
title = {Homology and cohomology of Rees semigroup algebras},
url = {http://eudml.org/doc/285443},
volume = {202},
year = {2011},
}
TY - JOUR
AU - Frédéric Gourdeau
AU - Niels Grønbæk
AU - Michael C. White
TI - Homology and cohomology of Rees semigroup algebras
JO - Studia Mathematica
PY - 2011
VL - 202
IS - 2
SP - 105
EP - 121
AB - Let S be a Rees semigroup, and let ℓ¹(S) be its convolution semigroup algebra. Using Morita equivalence we show that bounded Hochschild homology and cohomology of ℓ¹(S) are isomorphic to those of the underlying discrete group algebra.
LA - eng
KW - cohomology; homology; simplicial cohomology; Morita equivalence; Rees semigroup; Banach algebra
UR - http://eudml.org/doc/285443
ER -
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