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

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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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     author = {Brenken, Berndt},
     title = {Isomorphism {Classes} of {Solenoidal} {Algebras} {I}},
     journal = {Canadian mathematical bulletin},
     pages = {414--418},
     year = {1993},
     volume = {36},
     number = {4},
     doi = {10.4153/CMB-1993-056-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-056-2/}
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