Abstract
In this chapter we study examples of semigroup C *-algebras and semigroup actions that have been instrumental for an important part of the recent development on semigroup C *-algebras described in Chapter 5, as well as for the design of new methods to compute K-theory such as the method described in Section 3.5.3. Some of these are standard examples in ergodic theory, while others arise from semigroups and semigroup actions of number-theoretic origin. All this can be subsumed under the heading “algebraic actions”.
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