Traces
In this Chapter examples of trace structures are given along with some elements of trace theory in general. These facts and examples are called upon and, in the specific case of pseudodifferential operators, developed in more detail in subsequent chapters. The emphasis in this chapter is to provide a broad overview of trace theory and specifically to point out the key ideas on traces of pseudodifferential operators, indicating the relevant sections later in the book for detailed proofs and examples.
Keywords: Trace, character, regularized trace, cyclic homology, even-even operators, bounded operators, functional calculus, characteristic classes, complex powers, trace ideals, classical trace
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