Embeddings of reduced free products of operator algebras

Pacific Journal of Mathematics

Volumn 199, Issue 1, 2001, Pages 1-19

  Blanchard, Etienne F ^a   Dykema, Kenneth J ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001834084     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2001.199.1     Document Type: Article

References (23)

1. *-algebras, Trans. Amer. Math. Soc., 271 (1982), 423-465, MR 83h:46070, Zbl 513.46037.
2. F. Boca, Free products of completely positive maps and spectral sets, J. Funct. Anal., 97 (1991), 251-263, MR 92f:46064, Zbl 741.46024.
3. * -algebras, Math. Scand., 72 (1992), 212-222, MR 94k:46110.
4. M. Bożejko, M. Leinert and R. Speicher, Convolution and limit theorems for conditionally free random variables, Pacific J. Math., 175 (1996), 357-388, MR 98j:46069, Zb1 874.60010.
5. M. Bożejko and R. Speicher, ψ-independent and symmetrized white noises in 'Quantum Probability & Related Topics, QP-PQ VI', 219-236, World Sci. Publishing, 1991, CMP 1 149 828.
6. W.-M. Ching, Free products of von Neumann algebras, Trans. Amer. Math. Soc., 178 (1973), 147-163, MR 48 #4749.
7. M. Choda, Reduced free products of completely positive maps and entropy for free product of automorphisms, Publ. Res. Inst. Math. Sci., 32 (1996), 371-382, MR 97d:46077, Zbl 857.46040.
8. *-algebras arising from free product constructions, III, Proc. Amer. Math. Soc., 128(11) (2000), 3269-3273, MR 2001b:46095.
9. K.J. Dykema, Faithfulness of free product states, J. Funct. Anal., 154 (1998), 323-329, MR 99e:46066, Zbl 927.46034.
10. *-algebras, Trans. Amer. Math. Soc., 351 (1999), 1-40, MR 99g:46078.
11. *-algebras arising from free product constructions, II, Math. Scand., to appear.
12. *-algebras, preprint, 1999.
13. *-algebras, Ergodic Theory Dynam. Systems, to appear.
14. *-algebras, Duke Math. J., 90 (1997), 95-121, MR 99g:46077a; Correction, idem., 94 (1998), 213, Zbl 943.46034.
15. *-algebras, Duke Math. J., 90 (1997), 95-121, MR 99g:46077a; Correction, idem., 94 (1998), 213, Zbl 943.46034.
16. *-algebras arising from free product constructions, Canad. J. Math., 50 (1998), 323-341, MR 99d:46074, Zbl 919.46040.
17. *-algebras, Geom. Funct. Anal., 8 (1998), 1-16, MR 99d:46075, Zbl 907.46045; Erratum, idem., 10(4) (2000), 975, CMP 1 791 146.
18. *-algebras, Geom. Funct. Anal., 8 (1998), 1-16, MR 99d:46075, Zbl 907.46045; Erratum, idem., 10(4) (2000), 975, CMP 1 791 146.
19. *-modules: Theorems of Stinespring and Voiculescu, J. Operator Theory, 4 (1980), 133-150, MR 82b:46074, Zbl 456.46059.
20. *-modules, a Toolkit for Operator Algebraists, London Math. Soc. Lecture Note Series, 210, Cambridge University Press, 1995, MR 96k:46100, Zbl 822.46080.
21. *-algebras, Adv. Math., 13 (1974), 176-257, MR 50 #5489, Zbl 284.46040.
22. *-algebras, J. Pure Appl. Algebra, 5 (1974), 51-96, MR 51 #3912, Zbl 295.46099.
23. *-algebras, Operator Algebras and Their Connections with Topology and Ergodic Theory, Lecture Notes in Mathematics, 1132, Springer-Verlag, (1985), 556-588, MR 87d:46075, Zbl 618.46048.