TY - JOUR
T1 - Homology of algebras of families of pseudodifferential operators
AU - Benameur, Moulay Tahar
AU - Nistor, Victor
PY - 2003/12/1
Y1 - 2003/12/1
N2 - We compute the Hochschild, cyclic, and periodic cyclic homology groups of algebras of families of Laurent complete symbols on manifolds with corners. We show in particular that the spectral sequence associated with Hochschild homology degenerates at E2 and converges to Hochschild homology. As a byproduct, we identify the space of residue traces on fibrations by manifolds with corners. In the process, we prove some structural results about algebras of complete symbols on manifolds with corners.
AB - We compute the Hochschild, cyclic, and periodic cyclic homology groups of algebras of families of Laurent complete symbols on manifolds with corners. We show in particular that the spectral sequence associated with Hochschild homology degenerates at E2 and converges to Hochschild homology. As a byproduct, we identify the space of residue traces on fibrations by manifolds with corners. In the process, we prove some structural results about algebras of complete symbols on manifolds with corners.
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U2 - 10.1016/S0022-1236(03)00268-4
DO - 10.1016/S0022-1236(03)00268-4
M3 - Article
AN - SCOPUS:0346269092
SN - 0022-1236
VL - 205
SP - 1
EP - 36
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -