Geodesic
On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup
Journal of the European Mathematical Society, Tome 17 (2015) no. 3, pp. 645-687 Cet article a éte moissonné depuis la source EMS Press

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We compute the K-theory of C*-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K-theory of these semigroup C*-algebras in terms of the K-theory for the reduced group C*-algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
DOI : 10.4171/jems/513
Classification : 46-XX, 00-XX, 11-XX, 20-XX
Keywords: K-theory, semigroup C*-algebra, ax+b-semigroup, purely infinite 
@article{JEMS_2015_17_3_a5,
     author = {Joachim Cuntz and Siegfried Echterhoff and Xin Li},
     title = {On the {K-theory} of the {C*-algebra} generated by the left regular representation of an {Ore} semigroup},
     journal = {Journal of the European Mathematical Society},
     pages = {645--687},
     year = {2015},
     volume = {17},
     number = {3},
     doi = {10.4171/jems/513},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/513/}
}
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Joachim Cuntz; Siegfried Echterhoff; Xin Li. On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup. Journal of the European Mathematical Society, Tome 17 (2015) no. 3, pp. 645-687. doi: 10.4171/jems/513

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