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Volumn 51, Issue 4, 1999, Pages 850-880

Tensor algebras, induced representations, and the Wold decomposition

Author keywords

Beurling's theorem; Correspondence; Induced representation; Tensor algebras; Wold decomposition

Indexed keywords


EID: 0033420964     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1999-037-8     Document Type: Article
Times cited : (77)

References (26)
  • 1
    • 34250491179 scopus 로고
    • Subalgebras of C*-algebras
    • Wm. Arveson, Subalgebras of C*-algebras. Acta Math. 123(1969), 141-224.
    • (1969) Acta Math. , vol.123 , pp. 141-224
    • Arveson, Wm.1
  • 2
    • 34250170930 scopus 로고
    • On two problems concerning linear transformations in Hilbert space
    • A. Beurling, On two problems concerning linear transformations in Hilbert space. Acta Math. 81(1949), 239-255.
    • (1949) Acta Math. , vol.81 , pp. 239-255
    • Beurling, A.1
  • 3
    • 0000671349 scopus 로고
    • A characterization of operator algebras
    • D. Blecher, Z.-J. Ruan, and A. Sinclair, A characterization of operator algebras. J. Funct. Anal. 89(1990), 188-201.
    • (1990) J. Funct. Anal. , vol.89 , pp. 188-201
    • Blecher, D.1    Ruan, Z.-J.2    Sinclair, A.3
  • 4
    • 0032369135 scopus 로고    scopus 로고
    • The algebraic structue of non-commutative analytic Toeplitz algebras
    • K. Davidson and D. Pitts, The algebraic structue of non-commutative analytic Toeplitz algebras. Math. Ann. 311(1998), 275-303.
    • (1998) Math. Ann. , vol.311 , pp. 275-303
    • Davidson, K.1    Pitts, D.2
  • 5
    • 85033970418 scopus 로고    scopus 로고
    • Invariant subspaces and hyper-reflexivity for free semigroup algebras
    • to appear
    • _, Invariant subspaces and hyper-reflexivity for free semigroup algebras, Proc. London Math. Soc., to appear.
    • Proc. London Math. Soc.
  • 6
    • 84968509725 scopus 로고
    • The C*-algebra generated by an isometry
    • L. Coburn, The C*-algebra generated by an isometry. Bull. Amer. Math. Soc. 73(1967), 722-726.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 722-726
    • Coburn, L.1
  • 9
    • 0000117786 scopus 로고
    • A new duality theory for compact groups
    • S. Doplicher and J. Roberts, A new duality theory for compact groups. Invent. Math. 98(1989), 157-218.
    • (1989) Invent. Math. , vol.98 , pp. 157-218
    • Doplicher, S.1    Roberts, J.2
  • 12
    • 84941483062 scopus 로고
    • Shifts on Hilbert spaces
    • P. Halmos, Shifts on Hilbert spaces. J. Reine Angew. Math. 208(1961), 102-112
    • (1961) J. Reine Angew. Math. , vol.208 , pp. 102-112
    • Halmos, P.1
  • 14
    • 0038995247 scopus 로고
    • Translation invariant subspaces
    • Jerusalem Academic Press, Jerusalem; Pergamon, Oxford
    • P. Lax, Translation invariant subspaces. Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960), Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961,299-306.
    • (1961) Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960) , pp. 299-306
    • Lax, P.1
  • 16
    • 0040151355 scopus 로고    scopus 로고
    • On the uniqueness of operator algebra structures
    • _, On the uniqueness of operator algebra structures. Indiana Univ. Math. J 46(1997), 575-391.
    • (1997) Indiana Univ. Math. J , vol.46 , pp. 575-1391
  • 18
    • 0001274397 scopus 로고    scopus 로고
    • Tensor algebras over C*-correspondences (representations, dilations, and C*-envelopes)
    • _, Tensor algebras over C*-correspondences (Representations, dilations, and C*-envelopes). J. Funct. Anal. 158(1998), 389-457.
    • (1998) J. Funct. Anal. , vol.158 , pp. 389-457
  • 19
    • 0001021770 scopus 로고    scopus 로고
    • A class of C*-algebras generalizing both Cuntz-Krieger algebras and crossed products by ℤ
    • Free Probability Theory, (ed. D. Voiculescu), Amer. Math. Soc., Providence
    • M. Pimsner, A class of C*-algebras generalizing both Cuntz-Krieger algebras and crossed products by ℤ. In: Free Probability Theory, (ed. D. Voiculescu), Fields Institute Communications 12, Amer. Math. Soc., Providence, 1997, 189-212.
    • (1997) Fields Institute Communications , vol.12 , pp. 189-212
    • Pimsner, M.1
  • 20
    • 80955179187 scopus 로고
    • Isometric dilations for infinite sequences of noncommutmg operators
    • G. Popescu, Isometric dilations for infinite sequences of noncommutmg operators. Trans. Amer. Math. Soc. 316(1989), 523-536.
    • (1989) Trans. Amer. Math. Soc. , vol.316 , pp. 523-536
    • Popescu, G.1
  • 21
    • 0002100766 scopus 로고
    • Characteristic functions for infinite sequences of noncommuting operators
    • _, Characteristic functions for infinite sequences of noncommuting operators. J. Operator Theory 22(1989), 51-71.
    • (1989) J. Operator Theory , vol.22 , pp. 51-71
  • 22
    • 0001925669 scopus 로고
    • Multi-analytic operators on Fock spaces
    • _, Multi-analytic operators on Fock spaces. Math. Ann. 303(1995), 31-46.
    • (1995) Math. Ann. , vol.303 , pp. 31-46
  • 23
    • 0040633360 scopus 로고    scopus 로고
    • Noncommutative Wold decompositions for semigroups of isometries
    • _, Noncommutative Wold decompositions for semigroups of isometries. Indiana Univ. Math. J. 47(1998), 277-296.
    • (1998) Indiana Univ. Math. J. , vol.47 , pp. 277-296
  • 24
    • 85033948843 scopus 로고    scopus 로고
    • A generalization of Beurling's theorem to a class of reflexive algebras
    • to appear
    • _, A generalization of Beurling's theorem to a class of reflexive algebras. J. Operator Theory, to appear.
    • J. Operator Theory
  • 25
    • 0006456038 scopus 로고
    • Induced representations of C*-algebras
    • M. Rieffel, Induced representations of C*-algebras. Adv. in Math. 13(1974), 176-257.
    • (1974) Adv. in Math. , vol.13 , pp. 176-257
    • Rieffel, M.1
  • 26
    • 0009904395 scopus 로고
    • Vectorial Toeplitz operators and the Fejer-Riesz theorem
    • M. Rosenblum, Vectorial Toeplitz operators and the Fejer-Riesz theorem. J. Math. Anal. Appl. 23(1968), 139-147.
    • (1968) J. Math. Anal. Appl. , vol.23 , pp. 139-147
    • Rosenblum, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.