Naturality and induced representations

Bulletin of the Australian Mathematical Society

Volumn 61, Issue 3, 2000, Pages 415-438

  Echterhoff, Siegfried ^a   Kaliszewski, S ^b   Quigg, John ^b   Raeburn, Iain ^c  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b ARIZONA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196266     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0004972700022449     Document Type: Article

References (17)

1. R. Curto, P. Muhly and D. Williams, 'Cross products of strongly Morita equivalent C*-algebras', Proc. Amer. Math. Soc. 90 (1984), 528-530.
2. F. Combes, 'Crossed products and Morita equivalence', Proc. London Math. Soc. 49 (1984), 289-306.
3. A. Connes, Noncommutative geometry (Academic Press, San Diego, 1994).
4. S. Echterhoff, 'Morita equivalent twisted actions and a new version of the Packer-Raeburn stabilization trick', J. London Math. Soc. 50 (1994), 170-186.
5. S. Echterhoff and I. Raeburn, 'Multipliers of imprimitivity bimodules and Morita equivalence of crossed products', Math. Scand. 76 (1995), 289-309.
6. S. Echterhoff and I. Raeburn, 'The stabilisation trick for coactions', J. reine angew. Math. 470 (1996), 181-215.
7. P. Green, 'The local structure of twisted covariance algebras', Acta Math. 140 (1978), 191-250.
8. G.G. Kasparov, 'Equivariant KK-theory and the Novikov conjecture', Invent. Math. 91 (1988), 147-201.
9. G.G. Kasparov, 'K-theory, group C*-algebras, and higher signatures (conspectus)', in Novikov conjectures, index theorems, and rigidity. Vol. 1 (Oberwolfach, 1993), London Math. Soc. Lecture Note Ser. 226 (Cambridge University Press, Cambridge, 1995), pp.101-146.
10. S. Kaliszewski, J. Quigg and I. Raeburn, 'Duality of restriction and induction for C*-coactions', Trans. Amer. Math. Soc. 349 (1997), 2085-2113.
11. E.C. Lance, Hilbert C*-modules, London Math. Soc. Lecture Note Ser. 210 (Cambridge University Press, Cambridge, 1995).
12. E. Mendelson, Introduction to mathematical logic (Van Nostrand, Princeton, NJ, 1964).
13. P. Muhly and B. Solel, 'Tensor algebras over C*-correspondences: representations, dilations, and C*-envelopes', J. Funct. Anal. 158 (1998), 389-457.
14. M.V. Pimsner, 'A class of C*-algebras generalizing both Cuntz-Krieger algebras and crossed products by Z.', in Free Probability Theory 12, (D.-V. Voiculescu, Editor), Fields Inst. Commun. (American Mathematical Society, Providence, RI, 1997), pp. 189-212.
15. I. Raeburn, 'On crossed products and Takai duality', Proc. Edinburgh Math. Soc. 31 (1988), 321-330.
16. I. Raeburn and D.P. Williams, Morita equivalence and continuous-trace C*-algebras (American Mathematical Society, Providence, RI, 1998).
17. M. Takesaki, 'Covariant representations of C*-algebras and their locally compact automorphism groups', Acta Math. 119 (1967), 273-303.