Centers of algebras associated to higher-rank graphs

被引：9

作者：

Brown, Jonathan H. ^{[1
]}

Huef, Astrid An ^{[2
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

[2] Univ Otago, Dept Math & Stat, Dunedin 9054, New Zealand

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2014年 / 30卷 / 04期

关键词：

Kumjian-Pask algebra; Leavitt path algebra; higher-rank graph; k-graph; center; LEAVITT PATH ALGEBRA; C-ASTERISK-ALGEBRAS;

D O I：

10.4171/RMI/818

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Kumjian-Pask algebras are path algebras associated to higher-rank graphs, and generalize the Leavitt path algebras. We study the center of a simple Kumjian-Pask algebra and characterize commutative Kumjian-Pask algebras.

引用

页码：1387 / 1396

页数：10

共 11 条

[1] The Leavitt path algebra of a graph [J].

Abrams, G ;

Pino, GA .

JOURNAL OF ALGEBRA, 2005, 293 (02) :319-334

[2] Nonstable K-theory for graph algebras [J].

Ara, P. ;

Moreno, M. A. ;

Pardo, E. .

ALGEBRAS AND REPRESENTATION THEORY, 2007, 10 (02) :157-178

[3]

Pino GA, 2011, REV MAT IBEROAM, V27, P621

[4]

Brown J. H., COMM ALGEBR IN PRESS

[5]

Corrales Garcia M. G., ARXIV12094375V1

[6] REMARKS ON SOME FUNDAMENTAL RESULTS ABOUT HIGHER-RANK GRAPHS AND THEIR C*-ALGEBRAS [J].

Hazlewood, Robert ;

Raeburn, Iain ;

Sims, Aidan ;

Webster, Samuel B. G. .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2013, 56 (02) :575-597

[7]

Kumjian A., 2000, NEW YORK J MATH, V6, P1

[8]

Pino GA, 2013, T AM MATH SOC, V365, P3613

[9]

Raeburn I., 1998, Mathematical Surveys and Monographs, V60

[10] Simplicity of C*-algebras associated to higher-rank graphs [J].

Robertson, David I. ;

Sims, Aidan .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2007, 39 :337-344

← 1 2 →