The K-theory ranks for crossed products of C∗-algebras bythe group of integers

The K-theory ranks for crossed products of C∗-algebras bythe group of integers

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-dir...

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Autor principal: Sudo,Takahiro
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
Materias:
K-theory
C*-algebra
crossed product
Betti number
discrete group
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300001
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spelling oai:scielo:S0719-064620190003000012020-02-20The K-theory ranks for crossed products of C∗-algebras bythe group of integersSudo,Takahiro 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.3 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300001en10.4067/S0719-06462019000300001
institution Scielo Chile
collection Scielo Chile
language English
topic K-theory
C*-algebra
crossed product
Betti number
discrete group
spellingShingle K-theory
C*-algebra
crossed product
Betti number
discrete group
Sudo,Takahiro
The K-theory ranks for crossed products of C∗-algebras bythe group of integers
description 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.
author Sudo,Takahiro
author_facet Sudo,Takahiro
author_sort Sudo,Takahiro
title The K-theory ranks for crossed products of C∗-algebras bythe group of integers
title_short The K-theory ranks for crossed products of C∗-algebras bythe group of integers
title_full The K-theory ranks for crossed products of C∗-algebras bythe group of integers
title_fullStr The K-theory ranks for crossed products of C∗-algebras bythe group of integers
title_full_unstemmed The K-theory ranks for crossed products of C∗-algebras bythe group of integers
title_sort k-theory ranks for crossed products of c∗-algebras bythe group of integers
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300001
work_keys_str_mv AT sudotakahiro thektheoryranksforcrossedproductsofc8727algebrasbythegroupofintegers
AT sudotakahiro ktheoryranksforcrossedproductsofc8727algebrasbythegroupofintegers
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