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

Proceedings of the American Mathematical Society

Volumn 125, Issue 9, 1997, Pages 2733-2742

  Archbold, Robert J ^a   Kaniuth, Eberhard ^b  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b UNIVERSITY OF PADERBORN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944446084     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03830-6     Document Type: Article

References (21)

1. J. Anderson and W. Paschke, The. rotation algebra, Houston Math. 3. 15 (1989), 1-26. MR 90k:46126
2. R. 3. Archbold, Topologies for primal ideals, 3. London Math. Soc. (2) 36 (1987), 524-542. MR 89h:46076
3. R. 3. Archbold and D. W. B. Somerset, Quasi-standard C*-algebras, Math. Proc. Carnb. Phil. Soc. 107 (1990), 349-360. MR 91c:46079
4. M. B. Bekka and E. Kaniuth, Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation, 3. Reine Angew. Math. 385 (1988), 203-220. MR 89j:22005
5. P. Bernât and 3. Dixmier, Sur le dual d'un groupe de Lie, C. R. Acad. Sei. Paris 250 (1960), 1778-1779. MR 27:1536
6. J. Boidol, 3. Ludwig and D. Müller, On infinitely small orbits, Studia Math. 88 (1988), 1-11. MR 89f:22009
7. I. Brown, Dual topology of a nilpotent Lie group, Ann. Sei. EC. Norm. Sup. 6 (1973), 407-411. MR 50:4813
8. L. Convin and F. P. Greenleaf, Representations of nilpotent Lie groups and their applications. Part 1: Basic theory and examples, Cambridge University Press, Cambridge, 1990. MR 92b:22007
9. 3. Dauns and K. H. Hofmann, Representations of rings by continuous sections, Memoirs Amer. Math. Soc. 83, AMS 1968. MR 40:752
10. 3. Dixmier, Sur les représentations unitaires des groupes de Lie nilpotents. III, Canad. 3. Math. 10 (1958), 321-348. MR 20:1929
11. Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. MR 30:1404
12. 3. M. G. Fell, The structure of algebras of operator fields, Acta Math. 106 (1961), 233-280. MR 29:1547
13. Weak containment and induced representations of groups. II, Trans. Amer. Math. Soc. 110 (1964), 424-447. MR 28:3114
14. F. P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand, New York, 1969. MR 40:4776
15. Amenable actions of locally compact groups, 3. Funct. Anal. 4 (1969), 295-315. MR 40:268
16. E. Kaniuth, On the conjugation representation of a locally compact group, Math. Z. 202 (1989), 275-288. MR 90k:22003
17. Minimal primal ideal spaces and norms of inner derivations of tensor products of C'-algebras, Math. Proc. Camb. Phil. Soc. 119 (1996), 297-308. CMP 96:03
18. E. Kaniuth, G. Schlichting and K. F. Taylor, Minimal primal and Glimm ideal spaces of group C*-algebras, 3. Funct. Anal. 130 (1995), 43-76. CMP 95:12
19. R. Lee, On the C'-algebras of operator fields, Indiana Univ. Math. 3. 25 (1976), 303-314. MR 53:14150
20. Full algebras of operator fields trivial except at one point, Indiana Univ. Math. 3. 26 (1977), 351-372. MR 55:3812
21. O. A. Nielsen, Unitary representations and coadjoint orbits of low-dimensional nilpotent Lie groups, Queen's Papers in Pure Appl. Math. 63 (1983). MR 86k:22020