ON THE REAL RANK OF C*-ALGEBRAS OF NILPOTENT LOCALLY COMPACT GROUPS

被引：0

作者：

Archbold, Robert J. ^{[1
]}

Kaniuth, Eberhard ^{[2
]}

机构：

[1] Univ Aberdeen, Inst Math, Aberdeen AB24 3UE, Scotland

[2] Univ Gesamthsch Paderborn, Inst Math, D-33095 Paderborn, Germany

来源：

MATHEMATICA SCANDINAVICA | 2012年 / 110卷 / 01期

关键词：

AMENABLE LIE-GROUPS; STABLE RANK; STAR-ALGEBRAS; FREE PRODUCT; DIMENSION; ZERO;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If G is an almost connected, nilpotent, locally compact group then the real rank of the C*-algebra C*(G) is given by RR(C*(G)) = rank(G/[G, G]) = rank(G(0)/[G(0), G(0)]), where G(0) is the connected component of the identity element. In particular, for the continuous Heisenberg group G(3), RR(C*(G(3))) = 2.

引用

页码：99 / 110

页数：12

共 50 条

[1] On the stable rank and real rank of group C*-algebras of nilpotent locally compact groups
Archbold, RJ
Kaniuth, E
MATHEMATICA SCANDINAVICA, 2005, 97 (01) : 89 - 103
[2] LOCALLY COMPACT TRANSFORMATION GROUPS AND C' -ALGEBRAS
EFFROS, EG
HAHN, F
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, (75) : 1 - &
[3] LOCALLY COMPACT TRANSFORMATION GROUPS AND C'-ALGEBRAS
EFFROS, EG
HAHN, F
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (02) : 222 - &
[4] On C*-algebras associated with locally compact groups
Bekka, MB
Kaniuth, E
Lau, AT
Schlichting, G
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (10) : 3151 - 3158
[5] CATEGORICALLY COMPACT LOCALLY NILPOTENT GROUPS
FAY, TH
WALLS, GL
COMMUNICATIONS IN ALGEBRA, 1992, 20 (04) : 1019 - 1022
[6] CATEGORICALLY COMPACT LOCALLY NILPOTENT GROUPS
FAY, TH
WALLS, GL
COMMUNICATIONS IN ALGEBRA, 1990, 18 (10) : 3423 - 3435
[7] REPRESENTATIONS OF NILPOTENT LOCALLY COMPACT GROUPS
HANNABUSS, K
JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 34 (01) : 146 - 165
[8] PROPERTY (T) FOR LOCALLY COMPACT GROUPS AND C*-ALGEBRAS
Bekka, Bachir
Ng, Chi-Keung
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (05) : 2159 - 2169
[9] Stable rank and real rank of compact transformation group C*-algebras
Archbold, Robert J.
Kaniuth, Eberhard
STUDIA MATHEMATICA, 2006, 175 (02) : 103 - 120
[10] GROUP ALGEBRAS WITH LOCALLY NILPOTENT UNIT GROUPS
Ramezan-Nassab, M.
COMMUNICATIONS IN ALGEBRA, 2016, 44 (02) : 604 - 612

← 1 2 3 4 5 →