Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers

We study the Toeplitz $C^*$-algebra generated by the right-regular representation of the semigroup ${\mathbb N \rtimes \mathbb N^\times}$, which we call the right Toeplitz algebra. We analyse its structure by studying three distinguished quotients. We show that the multiplicative boundary quotient i...

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Veröffentlicht in:	New Zealand journal of mathematics 2021-09, Vol.52, p.109-143
Hauptverfasser:	An Huef, Astrid, Laca, Marcelo, Raeburn, Iain
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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