Simply connected nilpotent Lie groups with quasi-standard C*-algebras

被引：8

作者：

Archbold, RJ ^{[1
]}

Kaniuth, E ^{[1
]}

机构：

[1] UNIV PADERBORN,FACHBEREICH MATH INFORMAT,D-33095 PADERBORN,GERMANY

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 09期

关键词：

D O I：

10.1090/S0002-9939-97-03830-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of when the group C*-algebra of a locally compact group is quasi-standard is investigated for certain simply connected nilpotent Lie groups. The characterization is in terms of the coadjoint orbit structure in the dual of the Lie algebra.

引用

页码：2733 / 2742

页数：10

共 21 条

[1]

ANDERSON J, 1989, HOUSTON J MATH, V15, P1

[2]

ARCHBOLD RJ, 1987, J LOND MATH SOC, V36, P524

[3] QUASI-STANDARD C-STAR-ALGEBRAS [J].

ARCHBOLD, RJ ;

SOMERSET, DWB .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 107 :349-360

[4]

BEKKA MEB, 1988, J REINE ANGEW MATH, V385, P203

[5]

BERNAT P, 1960, CR HEBD ACAD SCI, V250, P1778

[6]

BOIDOL J, 1988, STUD MATH, V88, P1

[7]

Brown I. D., 1973, Ann. Sci. Ecole Norm. Sup., V6, P407

[8]

Corwin L., 1990, REPRESENTATIONS NI 1

[9]

DAUNS J, 1968, MEMOIRS AM MATH SOC, V88

[10]

DIXMIER J, 1964, C STAR ALGEBRES

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