On basic concepts of non-commutative topology

D. M. Shaydayeva

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 3, page 378-389
  • ISSN: 0011-4642

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Shaydayeva, D. M.. "On basic concepts of non-commutative topology." Czechoslovak Mathematical Journal 34.3 (1984): 378-389. <http://eudml.org/doc/13462>.

@article{Shaydayeva1984,
author = {Shaydayeva, D. M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {non-commutative topology; lattice of all projections in an arbitrary atomic -algebra; order, Jordan and -structures; bounded lower semicontinuous functions cone; Akemann-Giles topology; - algebra},
language = {eng},
number = {3},
pages = {378-389},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On basic concepts of non-commutative topology},
url = {http://eudml.org/doc/13462},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Shaydayeva, D. M.
TI - On basic concepts of non-commutative topology
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 3
SP - 378
EP - 389
LA - eng
KW - non-commutative topology; lattice of all projections in an arbitrary atomic -algebra; order, Jordan and -structures; bounded lower semicontinuous functions cone; Akemann-Giles topology; - algebra
UR - http://eudml.org/doc/13462
ER -

References

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  2. С. A. Akemann, Left ideal structure of C*-algebras, J. Functional Analysis, 6 (2) (1970), 306-317. (1970) MR0275177
  3. С. A. Akemann, 10.2140/pjm.1971.39.1, Pacific J. Math., 39 (1) (1971), 1-11. (1971) MR0328608DOI10.2140/pjm.1971.39.1
  4. С. A. Akemann, G. K. Pedersen, 10.1215/S0012-7094-73-04070-2, Duke Math. J., 40 (4) (1973), 785-796. (1973) Zbl0287.46073MR0358361DOI10.1215/S0012-7094-73-04070-2
  5. С. A. Akemann G. K. Pedersen, J. Tomiyama, 10.1016/0022-1236(73)90036-0, J. Functional Analysis, 13 {3) (1973), 277-301. (1973) MR0470685DOI10.1016/0022-1236(73)90036-0
  6. J. Dixmier, Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. (1964) MR0171173
  7. E. G. Effros, 10.1215/S0012-7094-63-03042-4, Duke Math. J., 30 (1963), 391-412. (1963) MR0151864DOI10.1215/S0012-7094-63-03042-4
  8. R. Giles, H. Kummer, 10.1512/iumj.1972.21.21008, Indiana Univ. Math. J. 21 (1) (1971), 91-102. (1971) Zbl0219.54003MR0293408DOI10.1512/iumj.1972.21.21008
  9. R. Giles, 10.1063/1.1665373, J. Mathematical Phys., 11 (1970), 2139-2160. (1970) Zbl0195.28103MR0272275DOI10.1063/1.1665373
  10. G. K. Pedersen, Applications of weak* semicontinuity in C*-algebra theory, Duke Math. J., 39 (3) (1972), 413-430. (1972) Zbl0244.46073MR0315463
  11. G. K. Pedersen, Some operator monotone functions, Proc. Amer. Math. Soc, 36 (1972), 309-310. (1972) Zbl0256.47019MR0306957
  12. S. Sakai, C*-algebras and W*-algebras, Springer-Verlag, Berlin-Heidelberg-New York, 1971. (1971) MR0442701

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