$W^\ast$-categories.
P. Ghez, R. Lima, and J. E. Roberts
Source: Pacific J. Math. Volume 120, Number 1
(1985), 79-109.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102703884
Zentralblatt MATH identifier: 0609.46033
Mathematical Reviews number (MathSciNet): MR808930
References
[1] S. Albeverio and R. Hoegh-Krohn, Ergodic actions by compact groups on C*-alge- bras, Preprint Marseille-Oslo.
Mathematical Reviews (MathSciNet): MR82h:46087
[2] M. Artin, A. Grothendieck and J. L. Verdier, Theoriedes Toposet Cohomologie Etale des Schemas, Lecture Notes in Mathematics 269, Springer, Berlin, Heidelberg, New York 1972.
Mathematical Reviews (MathSciNet): MR50:7131
Zentralblatt MATH: 0237.00012
[3] F. Combes, Poids associes a une Algebre Hilbertienne, Comp. Math., 23 (1971), 49-77.
Mathematical Reviews (MathSciNet): MR44:5786
Zentralblatt MATH: 0208.38201
[4] A. Connes, Une Classification des Facteurs de Type HI, Ann. Scient. de PEcole Normale Superieure, (4) 6 (1972), 133-252.
Mathematical Reviews (MathSciNet): MR49:5865
Zentralblatt MATH: 0243.46064
[5] A. Connes, Sur la Theorie non Commutative de Integration, Algebres d'Operateurs, Lecture Notes in Mathematics, 725, Springer, Berlin, Heidelberg, New York (1979).
Mathematical Reviews (MathSciNet): MR81g:46090
Zentralblatt MATH: 0412.46053
[6] A. Connes and M. Takesaki, Theflow of weightson factors of type III, Tohoku Math. J. 29 (1977), 473-575.
Mathematical Reviews (MathSciNet): MR82a:46069a
Zentralblatt MATH: 0408.46047
[7] J. Dixmier, Les C*-Algebres et leursRepresentations, Gauthier-Villars, Paris (1964).
Mathematical Reviews (MathSciNet): MR30:1404
Zentralblatt MATH: 0152.32902
[8] J. Dixmier, Les Algebres d'Operateurs dans Espace Hilbertien, 2eme edition, Gauthier- Villars (1969).
Mathematical Reviews (MathSciNet): MR50:5482
Zentralblatt MATH: 0175.43801
[9] D. E. Evans and T. Sund, Spectralsubspacesfor compactactions,Preprint Oslo.
Mathematical Reviews (MathSciNet): MR82j:46086
Zentralblatt MATH: 0505.46050
[10] P. Ghez, R. Lima and J. E. Roberts, The spectral category and the Connes invariant , J. Operator Theory, 14 (1985), 129-146.
Mathematical Reviews (MathSciNet): MR88c:46069
Zentralblatt MATH: 0601.46061
[11] G. G. Kasparov, Hubert C*-modules', theorem of Stinespring and Voiculescu, J. Operator Theory, 4 (1980), 133-150.
Mathematical Reviews (MathSciNet): MR82b:46074
Zentralblatt MATH: 0456.46059
[12] M. Landstad, Algebras of spherical functions associated with coariant systems over a compact group, Math. Scand., 47 (1980), 137-149.
Mathematical Reviews (MathSciNet): MR82i:46102
Zentralblatt MATH: 0444.46050
[13] S. MacLane, Categories for the Working Mathematician, Springer, Berlin, Heidel- berg, New York (1971).
Mathematical Reviews (MathSciNet): MR50:7275
Zentralblatt MATH: 0232.18001
[14] Y. Nakagami and M. Takesaki, Duality for Crossed Products of von Neumann Algebras, Lect. Notes in Math.No. 731, (1979), Springer-Verlag.
Mathematical Reviews (MathSciNet): MR81e:46053
Zentralblatt MATH: 0423.46051
[15] W. L. Paschke, Inner product modules over B*-algebras, Trans. Amer. Soc, 182 (1973), 443-468.
Mathematical Reviews (MathSciNet): MR50:8087
Zentralblatt MATH: 0239.46062
[16] W. L. Paschke, Inner product modules arising from compact automorphism groups of von Neumann algebras, Trans. Amer. Math. Soc., 224 (1976), 87-102.
Mathematical Reviews (MathSciNet): MR54:8308
Zentralblatt MATH: 0339.46048
[17] G. Pedersen, Measure theoryfor C*-algebras, Math. Scand., 19 (1966), 131-145.
Mathematical Reviews (MathSciNet): MR35:3453
[18] G. Pedersen and M. Takesaki, The Radon-Nikodym theorem for von Neumann algebras, Acta Math., 130 (1973), 53-87.
Mathematical Reviews (MathSciNet): MR54:948
Zentralblatt MATH: 0262.46063
[19] J. Renault, A Groupoid Approach to C*-algebras, Lect. Notes in Math. No. 793 (1980), Springer-Verlag.
Mathematical Reviews (MathSciNet): MR82h:46075
Zentralblatt MATH: 0433.46049
[20] M. Rieffel, Morita equivalence for C*-algebraa and W*-Algebras, J. Pure and Applied Algebra, (1974), 51-96.
Mathematical Reviews (MathSciNet): MR51:3912
Zentralblatt MATH: 0295.46099
[21] J. E. Roberts, Some applications of dilation invariance to structural questions in the theory of local observables,Commun.Math. Phys., 37 (1974), 273-286.
Mathematical Reviews (MathSciNet): MR51:4891
Zentralblatt MATH: 0292.46031
[22] J. E. Roberts, Cross products of von Neumann algebras by group duals, Symposia Mathe- matica, 22 (1976), 335-363.
Mathematical Reviews (MathSciNet): MR57:13518
Zentralblatt MATH: 0441.46053
[23] J. E. Roberts, A Survey of Local Cohomology. In: Proceedings of the Conference on Mathe- matical Problems in Theoretical Physics, Roma 1977, Lecture Notes in Physics 80, Springer, Berlin, Heidelberg, New York (1978).
Mathematical Reviews (MathSciNet): MR80b:81066
Zentralblatt MATH: 0449.55009
[24] J. E. Roberts, Spontaneously broken gauge symmetries and superselection rules. In: Pro- ceedings of the International School of Mathematical Physics, Universita di Camerino (1976).
[25] J. E. Roberts, Net Cohomology and its Applications to Field Theory, In: Quantum Fields-Al- gebras, Processes, ed. L. Streit, 239-268, Springer, Wien, New York 1980.
Mathematical Reviews (MathSciNet): MR82d:46096
Zentralblatt MATH: 0484.57024
[26] J. E. Roberts, New light on the mathematical structure of algebraic field theory, Proc. Sympos. Pure Math.,38 Part 2, (1982), 523-550.
Mathematical Reviews (MathSciNet): MR84b:81058
Zentralblatt MATH: 0528.46056
[27] S. Sakai, C*-Algebras, Springer, Berlin, Heidelberg, New York (1971).
[28] C. E. Sutherland, Cohomology and extensions of von Neumann algebras, preprint Queen's University.
Mathematical Reviews (MathSciNet): MR81k:46067
[29] S. L. Woronowicz, Duality in the C*-Algebra theory, Marseille Preprint 1983.
Mathematical Reviews (MathSciNet): MR88d:46112
Pacific Journal of Mathematics
