In order to appreciate the theory of local multipliers fully, some familiarity with basic concepts from non-commutative ring theory as well as the theory of C*-algebras is necessary. The reader who feels sufficiently confident with at least one of these may want to skip this chapter and delve directly into the second, looking up more specialised notions when needed. Otherwise, however, he, and she, are encouraged to dip into these prerequisites and to find out what the subsequent ideas are built on. In fact, we made some effort to provide most of the notions that will be used later in a fairly self-contained manner to alleviate the reader’s digestion of the more technical work that will follow.
KeywordsPrime Ideal Prime Ring Functional Calculus Closed Ideal Compact Hausdorff Space
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