Homology of algebras of families of pseudodifferential operators
Moulay Benameur, Victor Nistor
Abstract
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 deduce an identification of the space of residue traces on fibrations by manifolds with corners. In the process, we prove several general results about algebras of complete symbols on manifolds with corners.
Create a lesson
Related papers
Gerstenhaber algebra structure on the Hochschild cohomology ring of the Xu--Snashall algebra
Qi Long, Ziyang Shi, Guodong Zhou
K-theory of Matroids and Monoid Schemes
Christian Haesemeyer, Charles A. Weibel
On motivic cohomology of commutative C*-algebras
Ko Aoki
The Nil K-groups of finite groups
Ted Chinburg, Matthew Morrow, Georgios Pappas et al.
The Oka principle for étale Chow groups
Ko Aoki
General linear and Steinberg groups over the Leavitt algebra L F2(1,2)
Huynh Viet Khanh