Semigroup C*-algebras of $ax+b$-semigroups

Xin Li

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arXiv · 1306.5553

Semigroup C*-algebras of $ax+b$-semigroups

Xin Li

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Abstract

We study semigroup C*-algebras of $ax+b$-semigroups over integral domains. The goal is to generalize several results about C*-algebras of $ax+b$-semigroups over rings of algebraic integers. We prove results concerning K-theory 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.

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Xin Li. 2013-06-24. Semigroup C*-algebras of $ax+b$-semigroups. https://arxiv.org/abs/1306.5553

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