C * algebras associated with von Neumann algebras

Tullio G. Ceccherini-Silberstein

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 1, page 231-238
  • ISSN: 0392-4041

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Ceccherini-Silberstein, Tullio G.. "$C^*$ algebras associated with von Neumann algebras." Bollettino dell'Unione Matematica Italiana 2-B.1 (1999): 231-238. <http://eudml.org/doc/195401>.

@article{Ceccherini1999,
author = {Ceccherini-Silberstein, Tullio G.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {injective von Neumann factor; asymptotically abelian dynamical system; Cuntz C*-algebra; fixed point algebra; pure state; ground-state vector; -inductive limit; amenability of the symmetric group},
language = {eng},
month = {2},
number = {1},
pages = {231-238},
publisher = {Unione Matematica Italiana},
title = {$C^*$ algebras associated with von Neumann algebras},
url = {http://eudml.org/doc/195401},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Ceccherini-Silberstein, Tullio G.
TI - $C^*$ algebras associated with von Neumann algebras
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/2//
PB - Unione Matematica Italiana
VL - 2-B
IS - 1
SP - 231
EP - 238
LA - eng
KW - injective von Neumann factor; asymptotically abelian dynamical system; Cuntz C*-algebra; fixed point algebra; pure state; ground-state vector; -inductive limit; amenability of the symmetric group
UR - http://eudml.org/doc/195401
ER -

References

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  1. CONNES, A., Classification of injective factors, Ann. Math., 104 (1976), 73-115. Zbl0343.46042MR454659
  2. CUNTZ, J., Simple C * -algebras generated by isometries, Commun. Math. Phys., 57 (1977), 173-185. Zbl0399.46045MR467330
  3. CECCHERINI, T.- DOPLICHER, S.- PINZARI, C.- ROBERTS, J. E., A generalisation of the Cuntz algebras and model actions, J. Funct. Analysis, 125 (1994), 416-437. Zbl0816.46068MR1297675
  4. DOPLICHER, S.- KASTLER, D.- KADISON, R. V.- ROBINSON, D. W., Asymptotically abelian systems, Commun. Math. Phys., 6 (1967), 101-120. Zbl0177.41401MR216299
  5. DOPLICHER, S., KASTLER, D., STØRMER, E., Invariant states and asymptotic abelianess, J. Funct. Analysis, 3 (1969), 419-434. Zbl0174.44604MR243364
  6. HAAGERUP, U., The standar form of von Neumann algebras, Math. Scand., 37 (1975), 271-283. Zbl0304.46044MR407615
  7. JONES, V. F. R., Index for subfactors, Invent. Math., 72 (1983), 1-25. Zbl0508.46040MR696688
  8. VON NEUMANN, J., On infinite tensor products, Compos. Math., 6 (1938), 1-77, or, Collected Works, vol. III, n. 6, 322-399 (Pergamon Press). 
  9. ROBERTS, J. E., Cross products of von Neumann algebras by group duals, Symposia Mathematica, Vol XX (Convegno sulle Algebre C * e loro Applicazioni in Fisica Teorica, Convegno sulla Teoria degli Operatori, Indice e Teoria K , INDAM, Roma 1974, Academic Press, London (1976), 335-363). Zbl0441.46053MR473859
  10. TAKESAKI, M., Theory of Operator Algebras I, Springer-Verlag, New York, Heidelberg (1979). Zbl0436.46043MR548728
  11. WATATANI, Y., Jones index theory for C * -algebras, Mapping of operator algebras (Philadelphia, Penn., 1988)239-250, Progr. Math., 84, BirkhäuserBoston, Boston, Mass. (1990). Zbl0743.46053MR1103383

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