Fell’s subgroup algebra for locally compact abelian groups and L 1 -covariance algebras

Detlev Poguntke

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 2, page 239-265
  • ISSN: 0010-1354

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Poguntke, Detlev. "Fell’s subgroup algebra for locally compact abelian groups and $L^1$-covariance algebras." Colloquium Mathematicae 69.2 (1996): 239-265. <http://eudml.org/doc/210338>.

@article{Poguntke1996,
author = {Poguntke, Detlev},
journal = {Colloquium Mathematicae},
keywords = {subgroup algebra; ideal structure; locally compact transformation group; Banach -algebra; ideal space; dual group; covariance algebra; locally compact abelian groups; representation},
language = {eng},
number = {2},
pages = {239-265},
title = {Fell’s subgroup algebra for locally compact abelian groups and $L^1$-covariance algebras},
url = {http://eudml.org/doc/210338},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Poguntke, Detlev
TI - Fell’s subgroup algebra for locally compact abelian groups and $L^1$-covariance algebras
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 2
SP - 239
EP - 265
LA - eng
KW - subgroup algebra; ideal structure; locally compact transformation group; Banach -algebra; ideal space; dual group; covariance algebra; locally compact abelian groups; representation
UR - http://eudml.org/doc/210338
ER -

References

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  2. [2] J. Boidol, H. Leptin, J. Schürmann, and D. Vahle, Räume primitiver Ideale von Gruppenalgebren, ibid. 236 (1978), 1-13. Zbl0363.46057
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  13. [13] J. L. Kelley, General Topology, Van Nostrand, Princeton, 1955. 
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  15. [15] H. Leptin, On group algebras of nilpotent groups, Studia Math. 48 (1973), 201-205. Zbl0258.22009
  16. [16] H. Leptin, Ideal theory in group algebras of locally compact groups, Invent. Math. 31 (1976), 259-278. Zbl0328.22012
  17. [17] V. Losert, w*-closed subalgebras of L ∞ ( G ) , Colloq. Math. 46 (1982), 279-281. 
  18. [18] T. Pytlik, L 1 -harmonic analysis on semi-direct products of abelian groups, Monatsh. Math. 93 (1982), 309-328. Zbl0487.22006
  19. [19] H. Reiter, Classical Harmonic Analysis and Locally Compact Groups, Clarendon Press, Oxford, 1968. Zbl0165.15601
  20. [20] D. P. Williams, The topology on the primitive ideal space of transformation group C*-algebras and C.C.R. transformation group C*-algebras, Trans. Amer. Math. Soc. 266 (1981), 335-359. Zbl0474.46057
  21. [21] D. P. Williams, Transformation group C*-algebras with Hausdorff spectrum, Illinois J. Math. 26 (1982), 317-321. Zbl0466.22005

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