145 citations · 907 across the 49 of their papers we have counts for
7 papers · 1 filter
Michel Dubois-Violette
We study the generalized homology associated with a nilpotent endomorphism satisfying . For simplicial modules we construct such nilpotent endomorphisms and we prove a g…
Shadow of noncommutativity
Michel Dubois-Violette, John Madore, Richard Kerner
We analyse the structure of the limit of a family of algebras describing noncommutative versions of space-time, with a parameter of noncommutativity. Assuming the P…
Generalized differential spaces with and the -differential calculus
Michel Dubois-Violette
We present some results concerning the generalized homologies associated with nilpotent endomorphisms such that for some integer . We then introduce the notion…
Universal -differential calculus and -analog of homological algebra
Michel Dubois-Violette, Richard Kerner
We recall the definition of -differential algebras and discuss some representative examples. In particular we construct the -analog of the Hochschild coboundary. We then cons…
Some aspects of noncommutative differential geometry
Michel Dubois-Violette
We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential ca…
On the first order operators in bimodules
Michel Dubois-Violette, Thierry Masson
We analyse the structure of the first order operators in bimodules introduced by A. Connes. We apply this analysis to the theory of connections on bimodules generalizing thereby se…
Connections on central bimodules
Michel Dubois-Violette, Peter W. Michor
We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the alg…