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Weaver, Nik. Hilbert Bimodules with Involution. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 355-369. doi: 10.4153/CMB-2001-036-8
@article{10_4153_CMB_2001_036_8,
author = {Weaver, Nik},
title = {Hilbert {Bimodules} with {Involution}},
journal = {Canadian mathematical bulletin},
pages = {355--369},
year = {2001},
volume = {44},
number = {3},
doi = {10.4153/CMB-2001-036-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-036-8/}
}
[1] [1] Akemann, C. A., personal communication. Google Scholar
[2] [2] Akemann, C. A., J. Anderson and Pedersen, G. K., Excising states of C*-algebras. Canad. J. Math. 38 (1986), 1239–1260. Google Scholar
[3] [3] Arveson, W., Dynamical invariants for noncommutative flows. Operator algebras and quantum field theory (Rome, 1996), Internat. Press, 1998, 476–514. Google Scholar
[4] [4] Bratteli, O. and Robinson, D. W., Operator Algebras and Quantum Statistical Mechanics I. (second edition), Springer-Verlag, 1987. Google Scholar
[5] [5] Connes, A., C* algèbres et géométrie différentielle. C. R. Acad. Sci. Paris Sér. A 290(1980), A599–A604. Google Scholar
[6] [6] Evans, D. E. and Lewis, J. T., Dilations of irreversible evolutions in algebraic quantum theory. Comm. Dublin Inst. Adv. Stud. Ser. A 24(1977). Google Scholar
[7] [7] Falcone, T. and Takesaki, M., Operator valued weights without structure theory. Trans. Amer.Math. Soc. 351 (1999), 323–341. Google Scholar
[8] [8] Fell, J. M. G., An extension of Mackey's method to Banach *-algebraic bundles. Mem. Amer.Math. Soc. 90(1969). Google Scholar
[9] [9] Hartshorne, R., Algebraic Geometry. Springer-Verlag, Graduate Texts in Math. 52, 1977. Google Scholar
[10] [10] Kadison, R. V. and Ringrose, J. R., Fundamentals of the Theory of Operator Algebras II. Academic Press, 1986. Google Scholar
[11] [11] Lance, C., Hilbert C*-modules, LMS Lecture Note Series 210, Cambridge University Press, 1995. Google Scholar
[12] [12] Paschke, W. L., Inner product modules over B*-algebras. Trans. Amer.Math. Soc. 182 (1973), 443–468. Google Scholar
[13] [13] Pedersen, G. K., C*-algebras and their Automorphism Groups. Academic Press, 1979. Google Scholar
[14] [14] Phillips, N. C. and Weaver, N., Modules with norms which take values in a C*-algebra. Pacific J. Math. 185 (1998), 163–181. Google Scholar
[15] [15] Rieffel, M. A., Induced representations of C*-algebras. Adv. Math. 13 (1974), 176–257. Google Scholar
[16] [16] Rieffel, M. A., Morita equivalence for C*-algebras andW*-algebras. J. Pure Appl. Algebra 5 (1974), 51–96. Google Scholar
[17] [17] Rieffel, M. A., Morita equivalence for operator algebras. Proc. Symp. Pure Math. 38 (1982), 285–298. Google Scholar
[18] [18] Sauvageot, J.-L., Tangent bimodule and locality for dissipative operators on C*-algebras. Quantum Probability and App. IV, Springer, Lecture Notes in Math. 1396, 1989, 322–338. Google Scholar
[19] [19] Sauvageot, J.-L., Quantum Dirichlet forms, differential calculus and semigroups. Quantum Probability and App. V, Springer, Lecture Notes in Math. 1442, 1990, 334–346. Google Scholar
[20] [20] Skeide, M., Hilbert modules in quantum electro dynamics and quantum probability. Comm. Math. Phys. 192 (1998), 569–604. Google Scholar
[21] [21] Swan, R. G., Vector bundles and projective modules. Trans. Amer. Math. Soc. 105 (1962), 264–277. Google Scholar
[22] [22] Takehashi, A., Fields of Hilbert Modules. Dissertation, Tulane University, 1971. Google Scholar
[23] [23] Weaver, N., Lipschitz algebras and derivations of von Neumann algebras. J. Funct. Anal. 139 (1996), 261–300. Google Scholar
[24] [24] Woronowicz, S. L., Differential calculus on compact matrix pseudogroups (quantum groups). Comm. Math. Phys. 122 (1989), 125–170. Google Scholar
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