<title language="eng">K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups

• Main Author: Takahiro Sudo
• Format: Article
• Language: English
• Published: Universidad de La Frontera 2012-01-01
• Series: Cubo
• Subjects: C*-algebra; K-theory; homogeneous space; semi-simple Lie group; discrete subgroup
• Online Access: http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000200010
• ISSN: 0716-7776; 0719-0646

Estudiamos la K-teoría para las <img border=0 width=24 height=19 id="_x0000_i1034" src="http:/fbpe/img/cubo/v14n2/art10-02.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art10-02.jpg">álgebras de todas las funciones continuas sobre ciertos espacios homogeneos, principalmente en los grupos de Lie conexos semi- simples <img border=0 width=52 height=26 id="_x0000_i1033" src="http:/fbpe/img/cubo/v14n2/art10-01.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art10-01.jpg">y subgrupos discretos <img border=0 width=58 height=23 id="_x0000_i1032" src="http:/fbpe/img/cubo/v14n2/art10-04.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art10-04.jpg">. Como subproducto consideramos un caso nilpotente en forma anáaloga.<br>We study K-theory for the<img border=0 width=24 height=19 id="_x0000_i1037" src="http:/fbpe/img/cubo/v14n2/art10-02.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art10-02.jpg">algebras of all continuous functions on certain homogeneous spaces in the semi-simple connected Lie groups <img border=0 width=53 height=19 id="_x0000_i1036" src="http:/fbpe/img/cubo/v14n2/art10-03.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art10-03.jpg">by the discrete subgroups <img border=0 width=58 height=23 id="_x0000_i1035" src="http:/fbpe/img/cubo/v14n2/art10-04.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art10-04.jpg">, mainly. As a byproduct, we also consider a certain nilpotent case similarly.