The structure of free semigroup algebras

Journal fur die Reine und Angewandte Mathematik

Volumn 2001, Issue 533, 2001, Pages 99-125

  Davidson, Kenneth R ^a   Katsoulis, Elias ^b   Pitts, David R ^c  

^a UNIVERSITY OF WATERLOO   (Canada)

^b EAST CAROLINA UNIVERSITY   (United States)

^c UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035627522     PISSN: 00754102     EISSN: 14355345     Source Type: Journal    
DOI: 10.1515/crll.2001.028     Document Type: Article

References (22)

1. A. Arias and G. Popescu, Factorization and reflexivity on Fock spaces Integr. Equ. Op. Th. 23 (1995), 268-286.
2. A. Arias and G. Popescu, Noncommutative interpolation and Poisson transforms Israel J. Math. 115 (2000), 205-234.
3. H. Bercovici, Hyper-reflexivity and the factorization of linear functionals J. Funct. Anal. 158 (1998), 242-252.
4. O. Bratteli and P. Jorgensen, Endomorphisms of i9 II J. Funct. Anal. 145 (1997), 323-373.
5. O. Bratteli and P. Jorgensen, Iterated function systems and permutation representations of the Cuntz algebra Mem. Amer. Math. Soc. 139 (1999), no. 663.
6. O. Bratteli and P. Jorgensen, Wavelet filters and infinite dimensional unitary groups preprint 2000.
7. J. Bunce, Models for n-tuples of non-commuting operators J. Funct. Anal. 57 (1984), 21-30.
8. E. Christensen, Extensions of derivations II Math. Scand. 50 (1982), 111-112.
9. K.R. Davidson and D. R. Pitts, Invariant subspaces and hyper-reflexivity for free semi-group algebras Proc. London Math. Soc. 78 (1999), 401-430.
10. K. R. Davidson and D. R. Pitts, The algebraic structure of non-commutative analytic Toeplitz algebras Math. Ann. 311 (1998), 275-303.
11. K. R. Davidson and D. R. Pitts, Nevanlinna-Pick Interpolation for non-commutative analytic Toeplitz algebras Integr. Equ. Op. Th. 31 (1998), 321-337.
12. S. D. Fisher, The convex hull of the finite Blaschke products Bull. Amer. Math. Soc. 74 (1960), 1128-1129.
13. A. Frahzo, Models for non-commuting operators J. Funct. Anal. 48 (1982), 1-11.
14. A. Frahzo, Complements to models for non-commuting operators J. Funct. Anal. 59 (1984), 445-461.
15. D. E. Marshall, Blaschke products generate H” Bull. Amer. Math. Soc. 82 (1976), 494-496.
16. G. Popescu, Isometric dilations for infinite sequences of noncommuting operators Trans. Amer. Math. Soc. 316 (1989), 523-536.
17. G. Popescu, Characteristic functions for infinite sequences of noncommuting operators J. Op. Th. 22 (1989), 51-71.
18. G. Popescu, Multi-analytic operators and some factorization theorems Indiana Univ. Math. J. 38 (1989), 693-710.
19. G. Popescu, Multi-analytic operators on Fock spaces Math. Ann. 303 (1995), 31-46.
20. R. Powers, An index theory for semigroups of *-endomorphisms of M(&) and type II factors Can. J. Math. 40 (1988), 86-114.
21. D. Voiculescu, Symmetries of some reduced free product C*-algebras Springer Lect. Notes Math. 1132 (1985), 556-588.
22. J. Wermer, On invariant subspaces of normal operators Proc. Amer. Math. Soc. 3 (1952), 270-277.