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Volumn 44, Issue 2, 1998, Pages 369-411

A deformation quantization procedure for C* -algebras

Author keywords

C* algebras; Deformation; GNS representation; Quantization; Quantum group

Indexed keywords


EID: 0042855367     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (26)
  • 5
    • 0001523110 scopus 로고
    • The cohomology structure of an associative ring
    • M. GERSTENHABER, The cohomology structure of an associative ring, Ann. Math. 78(1963), 267-288.
    • (1963) Ann. Math. , vol.78 , pp. 267-288
    • Gerstenhaber, M.1
  • 6
    • 0002442975 scopus 로고
    • On the deformation of rings and algebras
    • M. GERSTENHABER, On the deformation of rings and algebras, Ann. of Math. 79 (1964), 59-103.
    • (1964) Ann. of Math. , vol.79 , pp. 59-103
    • Gerstenhaber, M.1
  • 9
    • 21144476595 scopus 로고
    • On the Haar measure of quantum SU(N) groups
    • G. NAGY, On the Haar measure of quantum SU(N) groups, Comm. Math. Phys. 153(1993), 217-228.
    • (1993) Comm. Math. Phys. , vol.153 , pp. 217-228
    • Nagy, G.1
  • 11
    • 0038798863 scopus 로고
    • On the quantum disk and a non-commutative circle
    • Birkhauser Verlag
    • G. NAGY, A. NICA, On the quantum disk and a non-commutative circle, in Algebraic Methods in Operator Theory, Birkhauser Verlag, 1994, pp. 276-290.
    • (1994) Algebraic Methods in Operator Theory , pp. 276-290
    • Nagy, G.1    Nica, A.2
  • 13
    • 0000626911 scopus 로고
    • Continuous fields of C* -algebras coming from group cocycles and actions
    • M.A. RIEFFEL, Continuous fields of C* -algebras coming from group cocycles and actions, Math. Ann. 283(1989), 631-643.
    • (1989) Math. Ann. , vol.283 , pp. 631-643
    • Rieffel, M.A.1
  • 14
    • 0000535281 scopus 로고
    • Deformation quantization for operator algebras
    • Amer. Math. Soc., Providence, RI
    • M. A. RIEFFEL, Deformation quantization for operator algebras, Proc. Sympos. Pure. Math., vol. 51, Amer. Math. Soc., Providence, RI 1990, pp. 411-423.
    • (1990) Proc. Sympos. Pure. Math. , vol.51 , pp. 411-423
    • Rieffel, M.A.1
  • 16
    • 34250094247 scopus 로고
    • Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
    • M. ROSSO, Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra, Comm. Math. Phys. 117(1988), 581-593.
    • (1988) Comm. Math. Phys. , vol.117 , pp. 581-593
    • Rosso, M.1
  • 17
    • 84973997823 scopus 로고
    • Algebres enveloppantes quantifiees, groupes quantiques compacts de matrices et calcul differentiel non-commutativ
    • M. ROSSO, Algebres enveloppantes quantifiees, groupes quantiques compacts de matrices et calcul differentiel non-commutativ, Duke Math. J. 61(1990), 11-40.
    • (1990) Duke Math. J. , vol.61 , pp. 11-40
    • Rosso, M.1
  • 18
    • 0001744836 scopus 로고
    • Quantization of the Poisson SU(2) and its Poisson homogeneous space - The sphere
    • with an Appendix by J.-H. Lu, A. Weinstein
    • A.J.-L. SHEU, Quantization of the Poisson SU(2) and its Poisson homogeneous space - the sphere, Comm. Math. Phys. 135(1990), 217-232 (with an Appendix by J.-H. Lu, A. Weinstein).
    • (1990) Comm. Math. Phys. , vol.135 , pp. 217-232
    • Sheu, A.J.-L.1
  • 19
    • 0039566139 scopus 로고    scopus 로고
    • The Weyl quantization of Poisson SU(2)
    • A.J.-L. SHEU, The Weyl quantization of Poisson SU(2), Pacific J. Math. 173(1996), 223-240.
    • (1996) Pacific J. Math. , vol.173 , pp. 223-240
    • Sheu, A.J.-L.1
  • 20
    • 0013035070 scopus 로고    scopus 로고
    • Compact quantum groups and groupoid C* -algebras
    • A.J.-L. SHEU, Compact quantum groups and groupoid C* -algebras, J. Funct. Anal. 144(1997), 371-393.
    • (1997) J. Funct. Anal. , vol.144 , pp. 371-393
    • Sheu, A.J.-L.1
  • 21
    • 0001132884 scopus 로고
    • The algebra of functions on a compact quantum group and its representations
    • YA. SOIBELMAN, The algebra of functions on a compact quantum group and its representations, Leningrad Math. J. 2(1990), 161-178.
    • (1990) Leningrad Math. J. , vol.2 , pp. 161-178
    • Soibelman, Ya.1
  • 23
    • 85007947259 scopus 로고
    • Twisted SU(2) group. An example of non-commutative differential calculus
    • S.L. WORONOWICZ, Twisted SU(2) group. An example of non-commutative differential calculus, Publ. Res. Inst. Math. Sci. 32(1987), 117-181.
    • (1987) Publ. Res. Inst. Math. Sci. , vol.32 , pp. 117-181
    • Woronowicz, S.L.1
  • 24
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • S.L. WORONOWICZ, Compact matrix pseudogroups, Comm. Math. Phys. 111(1987), 613-665.
    • (1987) Comm. Math. Phys. , vol.111 , pp. 613-665
    • Woronowicz, S.L.1
  • 25
    • 0002119476 scopus 로고
    • Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) group
    • S.L. WORONOWICZ, Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) group, Invent. Math. 93(1988), 35-76.
    • (1988) Invent. Math. , vol.93 , pp. 35-76
    • Woronowicz, S.L.1
  • 26
    • 0000300762 scopus 로고
    • Non-commutative Poisson algebras
    • P. XU, Non-commutative Poisson algebras, Amer. J. Math. 116(1994), 101-125.
    • (1994) Amer. J. Math. , vol.116 , pp. 101-125
    • Xu, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.