We consider the deformation 'I'a(X) ([10], [5]) of the algebra of pseudo-differential operators on the total space of a fibration of closed manifolds X -± M, defined by using the blow-up technique of Melrose. We compute the Hochschild homology of this algebra and of certain ideals and quotients. We prove a general criterion, from which we deduce that the… (More)

We present a series of diagrams Dn in Symmetric Monoidal Closed Categories such that there is infinitely many different varieties of SMCC (in the sense of universal algebra) defined by diagrams of this series as equations. Similar result will hold for weaker closed categories. We discuss the notion of dependency of diagrams in connection with this result.