Shape theory and asymptotic morphisms for $C^\ast$-algebras
Marius Dadarlat
Source: Duke Math. J. Volume 73, Number 3
(1994), 687-711.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077289020
Mathematical Reviews number (MathSciNet): MR1262931
Zentralblatt MATH identifier: 0847.46028
Digital Object Identifier: doi:10.1215/S0012-7094-94-07327-4
References
[B] B. Blackadar, Shape theory for $C^\ast$-algebras, Math. Scand. 56 (1985), no. 2, 249–275.
Mathematical Reviews (MathSciNet): MR87b:46074
Zentralblatt MATH: 0615.46066
[Ca] F. Cathey, Strong shape theory, Thesis, University of Washington, 1979.
[C] A. Connes, Noncommutative Geometry, (English edition), in preparation.
[CH] A. Connes and N. Higson, Deformations, morphismes asymptotiques et $K$-theorie bivariante, C. R. Acad. Sci. Paris Sér. I. Math. 311 (1990), no. 2, 101–106.
Mathematical Reviews (MathSciNet): MR91m:46114
Zentralblatt MATH: 0717.46062
[CH1] A. Connes and N. Higson, in preparation.
[CK] A. Connes and J. Kaminker, in preparation.
[Cu] J. Cuntz, $K$-theory and $C^\ast$-algebras, Algebraic $K$-theory, Number Theory, Geometry and Analysis (Bielefeld, 1982), Lecture Notes in Math., vol. 1046, Springer-Verlag, Berlin, 1984, pp. 55–79.
Mathematical Reviews (MathSciNet): MR86d:46071
Zentralblatt MATH: 0548.46056
Digital Object Identifier: doi:10.1007/BFb0072018
[D1] M. Dadarlat, Homotopy after tensoring with uniformly hyperfinite $C\sp *$-algebras, $K$-Theory 7 (1993), no. 2, 133–143.
Mathematical Reviews (MathSciNet): MR94g:46082
Zentralblatt MATH: 0802.46085
Digital Object Identifier: doi:10.1007/BF00962084
[D2] M. Dadarlat, Some examples in homotopy theory of stable $C^*$-algebras, preprint, 1991.
[D3] M. Dadarlat, On the asymptotic homotopy type of inductive limit $C^\ast$-algebras, to appear in Math. Ann.
Mathematical Reviews (MathSciNet): MR1245412
Zentralblatt MATH: 0791.46047
Digital Object Identifier: doi:10.1007/BF01459523
[D4] M. Dadarlat, A note on asymptotic morphisms, preprint, 1992.
[DN] M. Dadarlat and A. Nemethi, Shape theory and connective $K$-theory, J. Operator Theory 23 (1990), no. 2, 207–291.
Mathematical Reviews (MathSciNet): MR91j:46092
Zentralblatt MATH: 0755.46036
[DL] M. Dadarlat and T. A. Loring, $K$-homology, asymptotic representations and unsuspended $E$-theory, to appear in J. Funct. Anal.
Mathematical Reviews (MathSciNet): MR1305073
Zentralblatt MATH: 0863.46045
Digital Object Identifier: doi:10.1006/jfan.1994.1151
[EH] D. A. Edwards and H. M. Hastings, Čech and Steenrod Homotopy Theories with Applications to Geometric Topology, Lecture Notes in Math., vol. 542, Springer-Verlag, Berlin, 1976.
Mathematical Reviews (MathSciNet): MR55:1347
Zentralblatt MATH: 0334.55001
[EK1] E. G. Effros and J. Kaminker, Homotopy continuity and shape theory for $C^ \ast$-algebras, Geometric Methods in Operator Algebras (Kyoto, 1983), Pitman Res. Notes Math., vol. 123, Longman Sci. Tech., Harlow, 1986, pp. 152–180.
Mathematical Reviews (MathSciNet): MR88a:46082
Zentralblatt MATH: 0645.46051
[EK2] E. G. Effros and J. Kaminker, Some homotopy and shape calculations for $C^ \ast$-algebras, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics (Berkeley, Calif., 1984) ed. C. C. Moore, Math. Sci. Res. Inst. Publ., vol. 6, Springer-Verlag, New York, 1987, pp. 69–120.
Mathematical Reviews (MathSciNet): MR88j:46064
Zentralblatt MATH: 0632.46064
[E] G. Elliott, Are amenable $C^ *$-algebras classifiable? Representation Theory of Groups and Algebras eds. J. Adams, R. Herb, S. Kudla, J.-S. Li, R. Lipsman, and J. Rosenberg, Contemp. Math., vol. 145, Amer. Math. Soc., Providence, 1993, pp. 423–427.
Mathematical Reviews (MathSciNet): MR1216200
Zentralblatt MATH: 0806.46068
[H] N. Higson, Categories of fractions and excision in $KK$-theory, J. Pure Appl. Algebra 65 (1990), no. 2, 119–138.
Mathematical Reviews (MathSciNet): MR91i:19005
Zentralblatt MATH: 0718.46053
Digital Object Identifier: doi:10.1016/0022-4049(90)90114-W
[K] G. G. Kasparov, The operator $K$-functor and extensions of $C^\ast$-algebras, Math. USSR-Izv. 16 (1981), 513–572.
Zentralblatt MATH: 0464.46054
Mathematical Reviews (MathSciNet): MR582160
[L] T. Ju. Lisica, On the exactness of the spectral homotopy group sequence in shape theory, Soviet Math. Dokl. 18 (1977), 1118–1190.
[Lo] T. A. Loring, $C\sp *$-algebras generated by stable relations, J. Funct. Anal. 112 (1993), no. 1, 159–203.
Mathematical Reviews (MathSciNet): MR94k:46115
Zentralblatt MATH: 0778.46036
Digital Object Identifier: doi:10.1006/jfan.1993.1029
[MS] S. Mardešić and J. Segal, Shape Theory, North-Holland Math. Library, vol. 26, North-Holland, Amsterdam, 1982.
Mathematical Reviews (MathSciNet): MR84b:55020
Zentralblatt MATH: 0495.55001
[Q] J. B. Quigley, An exact sequence from the $n$th to the $(n-1)$-st fundamental group, Fund. Math. 77 (1973), no. 3, 195–210.
Mathematical Reviews (MathSciNet): MR48:9712
Zentralblatt MATH: 0247.55010
[RS] J. Rosenberg and C. Schochet, The Künneth theorem and the universal coefficient theorem for Kasparov's generalized $K$-functor, Duke Math. J. 55 (1987), no. 2, 431–474.
Mathematical Reviews (MathSciNet): MR88i:46091
Zentralblatt MATH: 0644.46051
Digital Object Identifier: doi:10.1215/S0012-7094-87-05524-4
Project Euclid: euclid.dmj/1077306030
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