Semigroup C*-algebras of ax + b-semigroups
4417 - 4437
Transactions of the American Mathematical Society
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© 2015 American Mathematical Society.We study semigroup C*-algebras of ax+b-semigroups over integral domains. The goal is to generalize several results about C*-algebras of ax+bsemigroups over rings of algebraic integers. We prove results concerning Ktheory and structural properties like the ideal structure or pure infiniteness. Our methods allow us to treat ax + b-semigroups over a large class of integral domains containing all noetherian, integrally closed domains and coordinate rings of affine varieties over infinite fields.
- Pure Mathematics