Geodesic
Isomorphism Classes of Solenoidal Algebras I
Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 414-418

Voir la notice de l'article provenant de la source Cambridge University Press

Each g ∊ Z[x] defines a homeomorphism of a compact space We investigate the isomorphism classes of the C*-crossed product algebra Bg associated with the dynamical system An isomorphism invariant Eg of the algebra Bg is shown to determine the algebra Bg up to * or * anti-isomorphism if degree g ≤ 1 and 1 is not a root of g or if degree g = 2 and g is irreducible. It is also observed that the entropy of the dynamical system is equal to the growth rate of the periodic points if g has no roots of unity as zeros. This slightly extends the previously known equality of these two quantities under the assumption that g has no zeros on the unit circle.
DOI : 10.4153/CMB-1993-056-2
Mots-clés : 46L35, 28D20 
Brenken, Berndt. Isomorphism Classes of Solenoidal Algebras I. Canadian mathematical bulletin, Tome 36 (1993) no. 4, pp. 414-418. doi: 10.4153/CMB-1993-056-2
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