The K-theory ranks for crossed products of C*-algebras by the group of integers

  • Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.
Keywords: K-theory, C*-algebra, crossed product, Betti number, discrete group

Abstract

We study the K-theory ranks for crossed products of C-algebras by the group of integers. As an application, we obtain certain estimates for the K-theory ranks of the group C-algebras of torsion free, finitely generated, nilpotent or solvable discrete groups, written as successive semi-direct products.

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Published
2020-01-15
How to Cite
Sudo, T. (2020). The K-theory ranks for crossed products of C*-algebras by the group of integers. CUBO, A Mathematical Journal, 21(3), 01–08. https://doi.org/10.4067/S0719-06462019000300001