<p>We discuss C<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43037_2025_425_Article_IEq1.gif" Format="GIF" Height="8" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^*\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∗</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>-algebras associated with several different natural shifts on the Hilbert space of the <i>s</i>-adic tree, that is, the tree of balls in the space of <i>s</i>-adic integers.</p>
We discuss C\(^*\)-algebras associated with several different natural shifts on the Hilbert space of the s-adic tree, that is, the tree of balls in the space of s-adic integers.