Description
With the framework of MOIs in mind from the first part of this mini-course, some arguments common in noncommutative geometry become recognisable as MOI identities. However, an adaptation is needed to deal with unbounded operators. I will discuss an abstract pseudodifferential calculus used in NCG and show a way of defining a functional calculus on this class of operators. This gives a straightforward path to define MOIs, and to obtain a variety of asymptotic expansions which will be familiar to the working noncommutative geometer.
