메뉴 건너뛰기




Volumn 37, Issue 3, 1996, Pages 1521-1538

A duality for endomorphisms of von Neumann algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039648123     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531447     Document Type: Article
Times cited : (6)

References (54)
  • 1
    • 0002643607 scopus 로고
    • An index theory for semigroups of *-endomorphisms of ℬ(ℋ) and type II, factors
    • R. T. Powers, "An index theory for semigroups of *-endomorphisms of ℬ(ℋ) and type II, factors," Can. J. Math. 40, 86-114 (1988).
    • (1988) Can. J. Math. , vol.40 , pp. 86-114
    • Powers, R.T.1
  • 4
    • 0001013148 scopus 로고
    • Endomorphisms of ℬ(ℋ) and Cuntz algebras
    • M. Laca, "Endomorphisms of ℬ(ℋ) and Cuntz algebras," J. Operator Theory 30, 85-108 (1993).
    • (1993) J. Operator Theory , vol.30 , pp. 85-108
    • Laca, M.1
  • 9
    • 0011008671 scopus 로고
    • Product shifts on ℬ(ℋ)
    • P. J. Stacey, "Product shifts on ℬ(ℋ)," Proc. Am. Math. Soc. 113, 955-963 (1991).
    • (1991) Proc. Am. Math. Soc. , vol.113 , pp. 955-963
    • Stacey, P.J.1
  • 10
    • 0003205924 scopus 로고
    • Continuous analogues of fock space I
    • W. Arveson, "Continuous analogues of Fock space I," Mem. Am. Math. Soc. 80 (1989), No. 409.
    • (1989) Mem. Am. Math. Soc. , vol.80 , Issue.409
    • Arveson, W.1
  • 11
    • 0010964570 scopus 로고
    • A note on extensions of semigroups of *-endomorphisms
    • W. Arveson and A. Kishimolo, "A note on extensions of semigroups of *-endomorphisms," Proc. Am. Math. Soc. 116, 769-774 (1992).
    • (1992) Proc. Am. Math. Soc. , vol.116 , pp. 769-774
    • Arveson, W.1    Kishimolo, A.2
  • 12
    • 38149146849 scopus 로고
    • On a family of almost commuting endomorphisms
    • V. F. R. Jones, "On a family of almost commuting endomorphisms," J. Funct. Anal. 122, 84-90 (1994).
    • (1994) J. Funct. Anal. , vol.122 , pp. 84-90
    • Jones, V.F.R.1
  • 13
    • 21344494979 scopus 로고
    • A duality for Hopf algebras and for subfactors; I
    • R. Longo, "A duality for Hopf algebras and for subfactors; I," Comm. Math. Phys. 159, 133-150 (1994).
    • (1994) Comm. Math. Phys. , vol.159 , pp. 133-150
    • Longo, R.1
  • 15
    • 0000386418 scopus 로고
    • Complete Boolean algebras of type I factors
    • H. Araki and E. J. Woods, "Complete Boolean algebras of type I factors," Publ. Res. Inst. Math. Sci. 2, 157-242 (1966).
    • (1966) Publ. Res. Inst. Math. Sci. , vol.2 , pp. 157-242
    • Araki, H.1    Woods, E.J.2
  • 17
    • 84972556156 scopus 로고
    • Quasi-product actions of a compact abelian group on a C*-algebra
    • O. Bratteli, G. A. Elliott, D. E. Evans, and A. Kishimoto, "Quasi-product actions of a compact abelian group on a C*-algebra," Tohoku Math. J. 41(2), 133-161 (1989).
    • (1989) Tohoku Math. J. , vol.41 , Issue.2 , pp. 133-161
    • Bratteli, O.1    Elliott, G.A.2    Evans, D.E.3    Kishimoto, A.4
  • 19
    • 84968509725 scopus 로고
    • The C*-algebra generated by an isometry
    • L. A. Coburn, "The C*-algebra generated by an isometry," Bull. Am. Math. Soc. 73. 722-726 (1967).
    • (1967) Bull. Am. Math. Soc. , vol.73 , pp. 722-726
    • Coburn, L.A.1
  • 21
    • 84933818184 scopus 로고
    • On a certain class of operator algebras
    • J. G. Glimm, "On a certain class of operator algebras," Trans. Am. Math. Soc. 95, 318-340 (1960).
    • (1960) Trans. Am. Math. Soc. , vol.95 , pp. 318-340
    • Glimm, J.G.1
  • 22
    • 0002160448 scopus 로고
    • Produits tensoriels infinis et représentations des relations d'anticommutation
    • A. Guichardet, "Produits tensoriels infinis et représentations des relations d'anticommutation," Ann. Ec. Norm. Sup. 83, 1-52 (1966).
    • (1966) Ann. Ec. Norm. Sup. , vol.83 , pp. 1-52
    • Guichardet, A.1
  • 23
    • 0001834639 scopus 로고    scopus 로고
    • Positive representations of general commutation relations allowing wick ordering
    • to appear
    • P. E. T. Jorgensen, L. M. Schmitt, and R. F. Werner, "Positive representations of general commutation relations allowing Wick ordering," J. Funct. Anal. (to appear).
    • J. Funct. Anal.
    • Jorgensen, P.E.T.1    Schmitt, L.M.2    Werner, R.F.3
  • 24
    • 45149145142 scopus 로고
    • An index for continuous semigroups of *-endomorphisms of ℬ(ℋ)
    • R. T. Powers and D. W. Robinson, "An index for continuous semigroups of *-endomorphisms of ℬ(ℋ)," J. Funct. Anal. 84, 85-96 (1989).
    • (1989) J. Funct. Anal. , vol.84 , pp. 85-96
    • Powers, R.T.1    Robinson, D.W.2
  • 26
    • 0013261413 scopus 로고
    • Finitely correlated states on quantum spin chains
    • M. Fannes, B. Nachtergaele, and R. F. Werner, "Finitely correlated states on quantum spin chains," Comm. Math. Phys. 144, 443-490 (1992).
    • (1992) Comm. Math. Phys. , vol.144 , pp. 443-490
    • Fannes, M.1    Nachtergaele, B.2    Werner, R.F.3
  • 27
    • 0002590373 scopus 로고
    • Harmonic analysis and fractal limit-measures induced by representations of a certain C*-algebra
    • P. E. T. Jorgensen and S. Pedersen, "Harmonic analysis and fractal limit-measures induced by representations of a certain C*-algebra," J. Funct. Anal. 125, 90-110 (1994).
    • (1994) J. Funct. Anal. , vol.125 , pp. 90-110
    • Jorgensen, P.E.T.1    Pedersen, S.2
  • 28
    • 0001522903 scopus 로고
    • Entropy for canonical shifts
    • M. Choda, "Entropy for canonical shifts," Trans. Am. Math. Soc. 334, 827-849 (1992).
    • (1992) Trans. Am. Math. Soc. , vol.334 , pp. 827-849
    • Choda, M.1
  • 29
    • 85007966761 scopus 로고
    • Entropy for canonical shifts; II
    • M. Choda and F. Hiai, "Entropy for canonical shifts; II," Publ. Res. Inst. Math. Sci 27, 461-489 (1991).
    • (1991) Publ. Res. Inst. Math. Sci , vol.27 , pp. 461-489
    • Choda, M.1    Hiai, F.2
  • 30
    • 3042722951 scopus 로고
    • Simple C*-algebras generated by isometrics
    • J. Cuntz, "Simple C*-algebras generated by isometrics," Comm. Math. Phys. 57, 173-185 (1977).
    • (1977) Comm. Math. Phys. , vol.57 , pp. 173-185
    • Cuntz, J.1
  • 31
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • S. L. Woronowicz, "Compact matrix pseudogroups," Comm. Math. Phys. 111, 613-665 (1987).
    • (1987) Comm. Math. Phys. , vol.111 , pp. 613-665
    • Woronowicz, S.L.1
  • 32
    • 84968490730 scopus 로고
    • The structure of a class of representations of the unitary group on a Hilbert space
    • I. E. Segal, "The structure of a class of representations of the unitary group on a Hilbert space," Proc. Am. Math. Soc. 8, 197-203 (1957).
    • (1957) Proc. Am. Math. Soc. , vol.8 , pp. 197-203
    • Segal, I.E.1
  • 33
    • 0001598965 scopus 로고
    • Representations of uniformly hyperfinite algebras and their associated von Neumann rings
    • R. T. Powers, "Representations of uniformly hyperfinite algebras and their associated von Neumann rings," Ann. Math. 86(2), 138-171 (1967).
    • (1967) Ann. Math. , vol.86 , Issue.2 , pp. 138-171
    • Powers, R.T.1
  • 34
    • 33745986748 scopus 로고
    • Free states of the canonical anticommutation relations
    • R. T. Powers and E. Størmer, "Free states of the canonical anticommutation relations," Comm. Math. Phys. 16, 1-33 (1970).
    • (1970) Comm. Math. Phys. , vol.16 , pp. 1-33
    • Powers, R.T.1    Størmer, E.2
  • 35
    • 0000346864 scopus 로고
    • The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications
    • M. G. Krein, "The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications," Mat. Sb. (Recueil Math.) 20, 431-495 (1947); 21, 365-404 (1947).
    • (1947) Mat. Sb. (Recueil Math.) , vol.20 , pp. 431-495
    • Krein, M.G.1
  • 36
    • 0039825795 scopus 로고
    • M. G. Krein, "The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications," Mat. Sb. (Recueil Math.) 20, 431-495 (1947); 21, 365-404 (1947).
    • (1947) Mat. Sb. (Recueil Math.) , vol.21 , pp. 365-404
  • 37
    • 0002379172 scopus 로고
    • Selfadjoint extension operators commuting with an algebra
    • P. E. T. Jorgensen, "Selfadjoint extension operators commuting with an algebra," Math. Zeitsch. 169, 41-62 (1979).
    • (1979) Math. Zeitsch. , vol.169 , pp. 41-62
    • Jorgensen, P.E.T.1
  • 38
    • 0011008670 scopus 로고
    • On discrete semigroups of *-endomorphisms of type I factors
    • H. T. Dinh, "On discrete semigroups of *-endomorphisms of type I factors," Int. J. Math. 3, 609-628 (1992).
    • (1992) Int. J. Math. , vol.3 , pp. 609-628
    • Dinh, H.T.1
  • 41
    • 0041012479 scopus 로고
    • Spectral properties of positive maps on C*-algebras
    • D. E. Evans and R. Høegh-Krohn, "Spectral properties of positive maps on C*-algebras," J. London Math. Soc. 17(2), 345-355 (1978).
    • (1978) J. London Math. Soc. , vol.17 , Issue.2 , pp. 345-355
    • Evans, D.E.1    Høegh-Krohn, R.2
  • 42
    • 80955179187 scopus 로고
    • Isometric dilations for infinite sequences of noncommuting operators
    • G. Popescu, "Isometric dilations for infinite sequences of noncommuting operators," Trans. Am. Math. Soc. 316, 523-536 (1989).
    • (1989) Trans. Am. Math. Soc. , vol.316 , pp. 523-536
    • Popescu, G.1
  • 46
    • 0002059869 scopus 로고
    • Irreducible representations of operator algebras
    • I. E. Segal, "Irreducible representations of operator algebras," Bull. Am. Math. Soc. 53, 73-88 (1947).
    • (1947) Bull. Am. Math. Soc. , vol.53 , pp. 73-88
    • Segal, I.E.1
  • 49
    • 0000315972 scopus 로고
    • Linear operators leaving invariant a cone in a Banach space
    • M. G. Krein and M. A. Rutman, "Linear operators leaving invariant a cone in a Banach space," Am. Math. Soc. Translation 1950 (1950), No. 26, translated from Uspekhi Mat. Nauk (N.S.) 3, 3-95 (1948) (Russian).
    • (1950) Am. Math. Soc. Translation , vol.1950 , Issue.26
    • Krein, M.G.1    Rutman, M.A.2
  • 50
    • 0002945715 scopus 로고
    • translated from (Russian)
    • M. G. Krein and M. A. Rutman, "Linear operators leaving invariant a cone in a Banach space," Am. Math. Soc. Translation 1950 (1950), No. 26, translated from Uspekhi Mat. Nauk (N.S.) 3, 3-95 (1948) (Russian).
    • (1948) Uspekhi Mat. Nauk (N.S.) , vol.3 , pp. 3-95
  • 54
    • 0011052955 scopus 로고
    • Frobenius theory for positive maps of von Neumann algebras
    • S. Albeverio and R. Høegh-Krohn, "Frobenius theory for positive maps of von Neumann algebras," Comm. Math. Phys. 64, 83-94 (1978).
    • (1978) Comm. Math. Phys. , vol.64 , pp. 83-94
    • Albeverio, S.1    Høegh-Krohn, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.