R-diagonal pairs arising as free off-diagonal compression

Indiana University Mathematics Journal

Volumn 45, Issue 2, 1996, Pages 529-544

  Nica, Alexandru ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008373205     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. K. DYKEMA. On certain free product factors via an extended matrix model, J. Functional Analysis 112 (1993), 31-60.
2. A. NICA. R-transforms of free joint distributions, and non-crossing partitions, J. Functional Analysis 135 (1996), 271-296.
3. A. NICA, R. SPEICHER. On the multiplication of free n-tuples of non-commutative random variables. With an Appendix by Dan Voiculescu: Alternative proofs for the type II free Poisson variables and for the free compression results. American Journal of Mathematics 118 (1996), 799-837.
4. A. NICA, R. SPEICHER. R-diagonal pairs - a common approach to Haar unitaries and circular elements, Proceedings of the Fields Institute (to appear).
5. D. SHLYAKHTENKO. R-transforms of certain joint distributions, Preprint.
6. D. SHLYAKHTENKO. Free quasi-free states, Preprint.
7. R. SPEICHER. Multiplicative functions on the lattice of non-crossing partitions and free convolution, Math. Annalen 298 (1994), 611-628.
8. D. VOICULESCU. Symmetries of some reduced free product C*-algebras, in Operator algebras and their connection with topology and ergodic theory, H. Araki et al. editors (Springer Lecture Notes in Mathematics, Volume 1132, 1985), 556-588.
9. D. VOICULESCU. Addition of certain non-commuting random variables, J. Functional Analysis 66 (1986), 323-346.
10. D. VOICULESCU. Circular and semicircular systems and free product factors, in Operator algebras, unitary representations, enveloping algebras, and invariant theory, A. Connes et al. editors, Birkhäuser, 1990, 45-60.
11. D. VOICULESCU. Free probability theory: random matrices and von Neumann algebras, Proceedings of the International Congress of Mathematicians, Zürich, 1994, 227-241.
12. D. VOICULESCU, K. DYKEMA, A. NICA. Free random variables, CRM Monograph Series, Volume 1, AMS, 1992.