메뉴 건너뛰기




Volumn 2000, Issue 1, 2000, Pages

On the Fixed-point Algebra under a Minimal Free Product-type Action of the Quantum Group SUq(2)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002100597     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (39)
  • 1
    • 0000641403 scopus 로고
    • Unitaries multiplicatifs et dualité pour les produits croisés de C*-algèbres
    • [BS]
    • [BS] S. Baaj and G. Skandalis, Unitaries multiplicatifs et dualité pour les produits croisés de C*-algèbres, Ann. Sci. École Norm. Sup. (4) 26 (1993), 425-488.
    • (1993) Ann. Sci. École Norm. Sup. (4) , vol.26 , pp. 425-488
    • Baaj, S.1    Skandalis, G.2
  • 2
    • 0033455794 scopus 로고    scopus 로고
    • Representations of compact quantum groups and subfactors
    • [Bn1]
    • [Bn1] T. Banica, Representations of compact quantum groups and subfactors, J. Reine Angew. Math. 509 (1999), 167-198.
    • (1999) J. Reine Angew. Math. , vol.509 , pp. 167-198
    • Banica, T.1
  • 4
    • 84966248547 scopus 로고
    • Free product von Neumann algebras of type III
    • [Er]
    • [Er] L. Barnett, Free product von Neumann algebras of type III, Proc. Amer. Math. Soc. 123 (1995), 543-553.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 543-553
    • Barnett, L.1
  • 5
    • 84972554546 scopus 로고
    • On the method of constructing irreducible finite index subfactors of Popa
    • [Bc]
    • [Bc] F. Boca, On the method of constructing irreducible finite index subfactors of Popa, Pacific J. Math. 161 (1993), 201-231.
    • (1993) Pacific J. Math. , vol.161 , pp. 201-231
    • Boca, F.1
  • 6
    • 0001380544 scopus 로고
    • Une classification des facteurs de type III
    • [C]
    • [C] A. Connes, Une classification des facteurs de type III, Ann. Sci. École Norm. Sup. (4) 6 (1973), 133-252.
    • (1973) Ann. Sci. École Norm. Sup. (4) , vol.6 , pp. 133-252
    • Connes, A.1
  • 7
    • 0012483796 scopus 로고
    • Amalgamated free products of multi-matrix algebras and a construction of subfactors of a free group factor
    • [D]
    • [D] K. J. Dykema, Amalgamated free products of multi-matrix algebras and a construction of subfactors of a free group factor, Amer. J. Math. 117 (1995), 1555-1602.
    • (1995) Amer. J. Math. , vol.117 , pp. 1555-1602
    • Dykema, K.J.1
  • 8
    • 0001826724 scopus 로고
    • Produit croisé d'une algèbre de von Neumann par une algèbre de Kac
    • [E]
    • [E] M. Knock, Produit croisé d'une algèbre de von Neumann par une algèbre de Kac, J. Funct. Anal. 26 (1977), 16-47.
    • (1977) J. Funct. Anal. , vol.26 , pp. 16-47
    • Knock, M.1
  • 9
    • 85008311172 scopus 로고
    • Produit croisé d'une algèbre de von Neumann par une algèbre de Kac, II
    • [ES1]
    • [ES1] M. Enock and J.-M. Schwartz, Produit croisé d'une algèbre de von Neumann par une algèbre de Kac, II, Publ. Res. Inst. Math. Sci 16 (1980), 189-232.
    • (1980) Publ. Res. Inst. Math. Sci , vol.16 , pp. 189-232
    • Enock, M.1    Schwartz, J.-M.2
  • 11
    • 0032386640 scopus 로고    scopus 로고
    • Applications of free entropy to finite von Neumann algebras, II
    • [G]
    • [G] L. Ge, Applications of free entropy to finite von Neumann algebras, II, Ann. of Math. (2) 147 (1998), 143-157.
    • (1998) Ann. of Math. (2) , vol.147 , pp. 143-157
    • Ge, L.1
  • 12
    • 0002274813 scopus 로고
    • Operator-valued weights in von Neumann algebras, I
    • [H]
    • [H] U. Haagerup, Operator-valued weights in von Neumann algebras, I, J. Funct. Anal. 32 (1979), 175-206.
    • (1979) J. Funct. Anal. , vol.32 , pp. 175-206
    • Haagerup, U.1
  • 13
    • 0000639992 scopus 로고
    • Equivalence of normal states on von Neumann algebras and the flow of weights
    • [HS]
    • [HS] U. Haagerup and E. Størmer, Equivalence of normal states on von Neumann algebras and the flow of weights, Adv. Math. 83 (1990), 180-262.
    • (1990) Adv. Math. , vol.83 , pp. 180-262
    • Haagerup, U.1    Størmer, E.2
  • 15
    • 0002965174 scopus 로고    scopus 로고
    • Amenable tensor categories and their realizations as AFD bimodules
    • [HY]
    • [HY] T. Hayashi and S. Yamagami, Amenable tensor categories and their realizations as AFD bimodules, to appear in J. Funct. Anal.
    • J. Funct. Anal.
    • Hayashi, T.1    Yamagami, S.2
  • 16
    • 1842426078 scopus 로고
    • On type II and type III principal graphs of subfactors
    • [I1]
    • [I1] M. Izumi, On type II and type III principal graphs of subfactors, Math. Scand. 73 (1993), 307-319.
    • (1993) Math. Scand. , vol.73 , pp. 307-319
    • Izumi, M.1
  • 17
    • 0005476292 scopus 로고    scopus 로고
    • Actions of compact quantum groups on operator algebras
    • [I2], Internat. Press, Cambridge, Mass.
    • [I2] _, "Actions of compact quantum groups on operator algebras" in XII-th International Congress of Mathematical Physics (Brisbane, 1997), Internat. Press, Cambridge, Mass., 1999, 249-253.
    • (1999) XII-th International Congress of Mathematical Physics (Brisbane, 1997) , pp. 249-253
  • 18
    • 0003140516 scopus 로고    scopus 로고
    • A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
    • [ILP]
    • [ILP] M. Izumi, R. Longo, and S. Popa, A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras, J. Funct. Anal. 155 (1998), 25-63.
    • (1998) J. Funct. Anal. , vol.155 , pp. 25-63
    • Izumi, M.1    Longo, R.2    Popa, S.3
  • 19
    • 0010806038 scopus 로고
    • Index for subfactors
    • [J]
    • [J] V. F. R. Jones, Index for subfactors, Invent. Math. 72 (1983), 1-25.
    • (1983) Invent. Math. , vol.72 , pp. 1-25
    • Jones, V.F.R.1
  • 20
    • 0005423087 scopus 로고
    • A note on actions of compact matrix quantum groups on von Neumann algebras
    • [K]
    • [K] Y. Konishi, A note on actions of compact matrix quantum groups on von Neumann algebras, Nihonkai Math. J. 3 (1992), 23-29.
    • (1992) Nihonkai Math. J. , vol.3 , pp. 23-29
    • Konishi, Y.1
  • 21
    • 84974001631 scopus 로고
    • Some remarks on actions of compact matrix quantum groups on C*-algebras
    • [KNW]
    • [KNW] Y. Konishi, M. Nagisa, and Y. Watatani, Some remarks on actions of compact matrix quantum groups on C*-algebras, Pacific J. Math. 153 (1992), 119-127.
    • (1992) Pacific J. Math. , vol.153 , pp. 119-127
    • Konishi, Y.1    Nagisa, M.2    Watatani, Y.3
  • 23
    • 0001353987 scopus 로고
    • A von Neumann algebra framework for the duality of the quantum groups
    • [MN]
    • [MN] T. Masuda and Y. Nakagami, A von Neumann algebra framework for the duality of the quantum groups, Publ. Res. Inst. Math. Sci. 30 (1994), 799-850.
    • (1994) Publ. Res. Inst. Math. Sci. , vol.30 , pp. 799-850
    • Masuda, T.1    Nakagami, Y.2
  • 24
    • 0005458242 scopus 로고
    • Takesaki duality for the crossed product by quantum groups
    • [N], Quantum and Non-Commutative Analysis (Kyoto, 1992), ed. H. Araki, et al., Kluwer Academic, Dordrecht
    • [N] Y. Nakagami, "Takesaki duality for the crossed product by quantum groups" in Quantum and Non-Commutative Analysis (Kyoto, 1992), ed. H. Araki, et al., Math. Phys. Stud. 16, Kluwer Academic, Dordrecht, 1993, 263-281.
    • (1993) Math. Phys. Stud. , vol.16 , pp. 263-281
    • Nakagami, Y.1
  • 25
    • 0000307054 scopus 로고
    • Markov traces on universal Jones algebras and subfactors of finite index
    • [P1]
    • [P1] S. Popa, Markov traces on universal Jones algebras and subfactors of finite index, Invent. Math. 111 (1993), 375-405.
    • (1993) Invent. Math. , vol.111 , pp. 375-405
    • Popa, S.1
  • 26
    • 0000715340 scopus 로고
    • An axiomatization of the lattice of higher relative commutants of a subfactor
    • [P2]
    • [P2] _, An axiomatization of the lattice of higher relative commutants of a subfactor, Invent. Math. 120 (1995), 427-445.
    • (1995) Invent. Math. , vol.120 , pp. 427-445
  • 27
    • 0001018420 scopus 로고
    • Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
    • [Rd]
    • [Rd] F. Rǎdulescu, Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index, Invent. Math. 115 (1994), 347-389.
    • (1994) Invent. Math. , vol.115 , pp. 347-389
    • Rǎdulescu, F.1
  • 28
    • 0001892924 scopus 로고
    • Cross products of von Neumann algebras by group duals
    • [R], Convegno sulle Algebre C* e loro Applicazioni in Fisica Teorica (Rome, 1975), Academic Press, London
    • [R] J. E. Roberts, "Cross products of von Neumann algebras by group duals" in Convegno sulle Algebre C* e loro Applicazioni in Fisica Teorica (Rome, 1975), Sympos. Math. 20, Academic Press, London, 1976, 335-363.
    • (1976) Sympos. Math. , vol.20 , pp. 335-363
    • Roberts, J.E.1
  • 29
    • 0010791032 scopus 로고    scopus 로고
    • An analogue of Paschke's theorem for actions of compact Kac algebras
    • [S]
    • [S] Y. Sekine, An analogue of Paschke's theorem for actions of compact Kac algebras, Kyushu J. Math. 52 (1998), 353-359.
    • (1998) Kyushu J. Math. , vol.52 , pp. 353-359
    • Sekine, Y.1
  • 30
    • 0039446533 scopus 로고    scopus 로고
    • q (n) on a full factor
    • q (n) on a full factor, J. Math. Soc. Japan 51 (1999), 449-461.
    • (1999) J. Math. Soc. Japan , vol.51 , pp. 449-461
    • Ueda, Y.1
  • 31
    • 0347751788 scopus 로고    scopus 로고
    • Amalgamated free product over Cartan subalgebra
    • [U2]
    • [U2] _, Amalgamated free product over Cartan subalgebra, to appear in Pacific J. Math.
    • Pacific J. Math.
  • 32
    • 0346491073 scopus 로고    scopus 로고
    • Remarks on free products with respect to non-tracial states
    • [U3]
    • [U3] _, Remarks on free products with respect to non-tracial states, to appear in Math. Scand.
    • Math. Scand.
  • 33
    • 0347121411 scopus 로고    scopus 로고
    • [U4], in preparation
    • [U4] _, in preparation.
  • 34
    • 0003341427 scopus 로고
    • Free Random Variables
    • [VDN], Amer. Math. Soc., Providence
    • [VDN] D. V. Voiculescu, K. J. Dykema, and A. Nica, Free Random Variables, CRM Monogr. Ser. 1, Amer. Math. Soc., Providence, 1992.
    • (1992) CRM Monogr. Ser. , vol.1
    • Voiculescu, D.V.1    Dykema, K.J.2    Nica, A.3
  • 35
    • 0000488814 scopus 로고
    • Coactions and Yang-Baxter equations for ergodic actions and subfactors
    • [Ws], Operator Algebras and Applications, Vol. 2, Cambridge Univ. Press, Cambridge
    • [Ws] A. Wassermann, "Coactions and Yang-Baxter equations for ergodic actions and subfactors" in Operator Algebras and Applications, Vol. 2, London Math. Soc. Lecture Note Ser. 136, Cambridge Univ. Press, Cambridge, 1988, 203-236.
    • (1988) London Math. Soc. Lecture Note Ser. , vol.136 , pp. 203-236
    • Wassermann, A.1
  • 36
    • 85007947259 scopus 로고
    • Twisted SU(2) group. An example of a noncommutative differential calculus
    • [W1]
    • [W1] S. L. Woronowicz, Twisted SU(2) group. An example of a noncommutative differential calculus, Publ. Res. Inst. Math. Sci. 23 (1987), 117-181.
    • (1987) Publ. Res. Inst. Math. Sci. , vol.23 , pp. 117-181
    • Woronowicz, S.L.1
  • 37
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • [W2]
    • [W2] _, Compact matrix pseudogroups, Comm. Math. Phys. 111 (1987), 613-665.
    • (1987) Comm. Math. Phys. , vol.111 , pp. 613-665
  • 38
    • 0002119476 scopus 로고
    • Tannaka-Kreǐn duality for compact matrix pseudogroups. Twisted SU(N) groups
    • [W3]
    • [W3] _, Tannaka-Kreǐn duality for compact matrix pseudogroups. Twisted SU(N) groups, Invent. Math. 93 (1988), 35-76.
    • (1988) Invent. Math. , vol.93 , pp. 35-76
  • 39
    • 0010861213 scopus 로고    scopus 로고
    • The Connes spectrum for actions of compact Kac algebras and factoriality of their crossed products
    • [Y]
    • [Y] T. Yamanouchi, The Connes spectrum for actions of compact Kac algebras and factoriality of their crossed products, Hokkaido Math. J. 28 (1999), 409-434.
    • (1999) Hokkaido Math. J. , vol.28 , pp. 409-434
    • Yamanouchi, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.