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

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 produ...

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Main Author:	Takahiro Sudo
Format:	Article
Language:	English
Published:	Universidad de La Frontera 2019-12-01
Series:	Cubo
Subjects:	k-theory c*-algebra crossed product betti number discrete group
Online Access:	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2216/1910

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spelling	doaj-0dfee4a0aaa24f8baa29310dc42846e52020-11-25T02:37:43ZengUniversidad de La FronteraCubo0716-77760719-06462019-12-012131810.4067/S0719-06462019000300001The K-theory ranks for crossed products of C-algebras by the group of integersTakahiro Sudo0https://orcid.org/0000-0003-2530-6105Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.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.http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2216/1910k-theoryc-algebracrossed productbetti numberdiscrete group
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Takahiro Sudo
spellingShingle	Takahiro Sudo The K-theory ranks for crossed products of C-algebras by the group of integers Cubo k-theory c-algebra crossed product betti number discrete group
author_facet	Takahiro Sudo
author_sort	Takahiro Sudo
title	The K-theory ranks for crossed products of C*-algebras by the group of integers
title_short	The K-theory ranks for crossed products of C*-algebras by the group of integers
title_full	The K-theory ranks for crossed products of C*-algebras by the group of integers
title_fullStr	The K-theory ranks for crossed products of C*-algebras by the group of integers
title_full_unstemmed	The K-theory ranks for crossed products of C*-algebras by the group of integers
title_sort	k-theory ranks for crossed products of c*-algebras by the group of integers
publisher	Universidad de La Frontera
series	Cubo
issn	0716-7776 0719-0646
publishDate	2019-12-01
description	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.
topic	k-theory c*-algebra crossed product betti number discrete group
url	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2216/1910
work_keys_str_mv	AT takahirosudo thektheoryranksforcrossedproductsofcalgebrasbythegroupofintegers AT takahirosudo ktheoryranksforcrossedproductsofcalgebrasbythegroupofintegers
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The K-theory ranks for crossed products of C*-algebras by the group of integers

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