On Graph C*-Algebras with a Linear Ideal Lattice

被引:0
作者
Eilers, Soren [1 ]
Restorff, Gunnar [2 ]
Ruiz, Efren [3 ]
机构
[1] Univ Copenhagen, Dept Math Sci, DK-2100 Copenhagen, Denmark
[2] Univ Faroe Isl, Fac Sci & Technol, FO-100 Torshavn, Faroe Isl, Denmark
[3] Univ Hawaii, Dept Math, Hilo, HI 96720 USA
关键词
Classification; extensions; graph C*-algebras; CORONA FACTORIZATION PROPERTY; CUNTZ-KRIEGER ALGEBRAS; CLASSIFICATION; EXTENSIONS; EQUIVALENCE; SEQUENCES;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
At the cost of restricting the nature of the involved K-groups, we prove a classification result for a hitherto unexplored class of graph C*-algebras, allowing us to classify all graph C*-algebras on finitely many vertices with a finite linear ideal lattice if all pair of vertices are connected by infinitely many edges when they are connected at all.
引用
收藏
页码:233 / 241
页数:9
相关论文
共 18 条
[1]  
[Anonymous], 1998, MATH SCI RES I PUBLI
[2]   Poset block equivalence of integral matrices [J].
Boyle, M ;
Huang, D .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (10) :3861-3886
[3]   SEMICONTINUITY AND MULTIPLIERS OF C-STAR-ALGEBRAS [J].
BROWN, LG .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1988, 40 (04) :865-988
[4]   EXTENSIONS OF CSTAR-ALGEBRAS AND K-HOMOLOGY [J].
BROWN, LG ;
DOUGLAS, RG ;
FILLMORE, PA .
ANNALS OF MATHEMATICS, 1977, 105 (02) :265-324
[5]  
CARLSEN T, 2010, INDEX MAPS K THEORY
[6]   The C*-algebras of arbitrary graphs [J].
Drinen, D ;
Tomforde, M .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (01) :105-135
[7]  
EILERS S, CLASSIFYING C UNPUB
[8]   On the classification of nonsimple graph C *-algebras [J].
Eilers, Soren ;
Tomforde, Mark .
MATHEMATISCHE ANNALEN, 2010, 346 (02) :393-418
[9]   Classification of extensions of classifiable C*-algebras [J].
Eilers, Soren ;
Restorff, Gunnar ;
Ruiz, Efren .
ADVANCES IN MATHEMATICS, 2009, 222 (06) :2153-2172
[10]   An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem [J].
Elliott, GA ;
Kucerovsky, D .
PACIFIC JOURNAL OF MATHEMATICS, 2001, 198 (02) :385-409