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- W1779427449 abstract "We present a $C^*$-algebra which is naturally associated to the $ax+b$-semigroup over $mathbb N$. It is simple and purely infinite and can be obtained from the algebra considered by Bost and Connes by adding one unitary generator which corresponds to addition. Its stabilization can be described as a crossed product of the algebra of continuous functions, vanishing at infinity, on the space of finite adeles for $mathbb Q$ by the natural action of the $ax+b$-group over $mathbb Q$." @default.
- W1779427449 created "2016-06-24" @default.
- W1779427449 creator A5021836877 @default.
- W1779427449 date "2006-11-17" @default.
- W1779427449 modified "2023-09-27" @default.
- W1779427449 title "$C^*$-algebras associated with the $ax+b$-semigroup over $mathbb N$" @default.
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