Multiplicative lattices and C * -algebras

J. Rosický

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1989)

  • Volume: 30, Issue: 2, page 95-110
  • ISSN: 1245-530X

How to cite

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Rosický, J.. "Multiplicative lattices and $C^\ast $-algebras." Cahiers de Topologie et Géométrie Différentielle Catégoriques 30.2 (1989): 95-110. <http://eudml.org/doc/91438>.

@article{Rosický1989,
author = {Rosický, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Gelfand duality theorem; commutative -algebra; compact completely regular locale of its closed ideals; lattice of open subsets of the maximal spectrum; non-commutative but postliminary - algebras; quantale of closed right ideals; lattice of closed right ideals},
language = {eng},
number = {2},
pages = {95-110},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Multiplicative lattices and $C^\ast $-algebras},
url = {http://eudml.org/doc/91438},
volume = {30},
year = {1989},
}

TY - JOUR
AU - Rosický, J.
TI - Multiplicative lattices and $C^\ast $-algebras
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1989
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 30
IS - 2
SP - 95
EP - 110
LA - eng
KW - Gelfand duality theorem; commutative -algebra; compact completely regular locale of its closed ideals; lattice of open subsets of the maximal spectrum; non-commutative but postliminary - algebras; quantale of closed right ideals; lattice of closed right ideals
UR - http://eudml.org/doc/91438
ER -

References

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  2. 2 C.A. Akemann, Left ideal structures of C*-algebras, J. Funct. Anal.6 (1970), 305-317. Zbl0199.45901MR275177
  3. 3 F. Borceux & G. Van Den Bossche, Quantales and their sheaves, Order3 (1986), 61-87. Zbl0595.18003MR850399
  4. 4 F. Borceux, J. Rosický & G. Van Den Bossche, Quantales and C*-algebras, Sem. Math. Univ. Cath. Louvain, Rap. 129 (1988). MR1053610
  5. 5 J. Dixmier, Les C*-algebras et leurs représentations, Gauthier-Villars, Paris1964. Zbl0152.32902MR171173
  6. 6 J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien (Algèbres de Von Neumann), Gauthier-Villars, Paris1969. Zbl0088.32304
  7. 7 R. Giles& H. Kummer, A non-commutative generalization of topology, Indiana Univ. Math. J.21 (1971), 91-102. Zbl0219.54003MR293408
  8. 8 P.T. Johnstone, Stone spaces, Cambridge Univ. Press, Cambridge1982. Zbl0499.54001MR698074
  9. 9 G. Kalmbach, Orthomodular lattices, Academic Press1983. Zbl0512.06011MR716496
  10. 10 M.D. MacLaren, Atomic orthocomplemented lattices, Pac. J. Math.14 (1964), 597-612. Zbl0122.02201MR163860
  11. 11 C.J. Mulvey, Suppl. Rend. Circ. Mat. Palermo, Ser. II, 12 (1986), 99-104. Zbl0633.46065MR853151
  12. 12 M.A. Naimark, Normed rings. Moscow1968. Zbl0073.08902MR355602
  13. 13 J. Paseka, Regular and normal quantales, Arch. Math. (Brno) 4 (1986), 203-210. Zbl0612.06012MR868535

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