Tensor Algebras, Induced Representations, and the Wold Decomposition
Tóm tắt
Từ khóa
Tài liệu tham khảo
Popescu, 1989, Characteristic functions for infinite sequences of noncommuting operators, J. Operator Theory, 22, 51
Lax, 1961, Translation invariant subspaces
Dixmier, 1977, C*-Algebras
Popescu G. , A generalization of Beurling's theorem to a class of reflexive algebras. J. Operator Theory, to appear.
Doplicher, 1998, The C*-algebra of a Hilbert bimodule, Boll. Un.Mat. Ital. B (8), 1, 263
Fowler N. and Raeburn I. , The Toeplitz algebra of a Hilbert bimodule. Preprint.
Muhly, 1998, An algebraic characterization of boundary representations, 104
Popescu, 1998, NoncommutativeWold decompositions for semigroups of isometries, IndianaUniv.Math. J., 47, 277
Davidson K. and Pitts D. , Invariant subspaces and hyper-reflexivity for free semigroup algebras, Proc. London Math. Soc., to appear.
Pimsner, 1997, Free Probability Theory, 12, 189
Beurling, 1949, On two problems concerning linear transformations in Hilbert space, ActaMath., 81, 239
1969, Subalgebras of C*-algebras, ActaMath., 123, 141
Douglas, 1989, Research Notes in Math., 217
Muhly, 1995, Hilbert modules over operator algebras, Mem. Amer.Math. Soc., 117