A universal multicoefficient theorem for the Kasparov groups
Marius Dadarlat and Terry A. Loring
Source: Duke Math. J. Volume 84, Number 2
(1996), 355-377.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077243834
Mathematical Reviews number (MathSciNet): MR1404333
Zentralblatt MATH identifier: 0881.46048
Digital Object Identifier: doi:10.1215/S0012-7094-96-08412-4
References
[Bl] B. Blackadar, $K$-theory for operator algebras, Mathematical Sciences Research Institute Publications, vol. 5, Springer-Verlag, New York, 1986.
Mathematical Reviews (MathSciNet): MR88g:46082
Zentralblatt MATH: 0597.46072
[B] W. Browder, Algebraic $K$-theory with coefficients $\~Z/p$, Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), I, Lecture Notes in Math., vol. 657, Springer, Berlin, 1978, pp. 40–84.
Mathematical Reviews (MathSciNet): MR80b:18011
Zentralblatt MATH: 0386.18011
Digital Object Identifier: doi:10.1007/BFb0069227
[Br1] L. G. Brown, Extensions and the structure of $C\sp\ast$-algebras, Symposia Mathematica, Vol. XX (Convegno sulle Algebre $C\sp\ast$ e loro Applicazioni in Fisica Teorica, Convegno sulla Teoria degli Operatori Indice e Teoria $K$, INDAM, Rome, 1975), Academic Press, London, 1976, pp. 539–566.
Mathematical Reviews (MathSciNet): MR56:16400
Zentralblatt MATH: 0366.46047
[Br2] L. G. Brown, The universal coefficient theorem for ${\rm Ext}$ and quasidiagonality, Operator algebras and group representations, Vol. I (Neptun, 1980), Monogr. Stud. Math., vol. 17, Pitman, Boston, MA, 1984, pp. 60–64.
Mathematical Reviews (MathSciNet): MR85m:46066
Zentralblatt MATH: 0548.46055
[BrD] L. G. Brown and M. Dadarlat, Extensions of $C^{\ast}$-algebras and quasidiagonality, to appear in J. London Math. Soc. (2).
Mathematical Reviews (MathSciNet): MR1396721
Zentralblatt MATH: 0857.46045
[BMMS] R. R. Bruner, J. P. May, J. E. McClure, and M. Steinberger, $H\sb \infty$ ring spectra and their applications, Lecture Notes in Mathematics, vol. 1176, Springer-Verlag, Berlin, 1986.
Mathematical Reviews (MathSciNet): MR88e:55001
Zentralblatt MATH: 0585.55016
[Cu] J. Cuntz, $K$-theory for certain $C\sp{\ast}$-algebras. II, J. Operator Theory 5 (1981), no. 1, 101–108.
Mathematical Reviews (MathSciNet): MR84k:46053
Zentralblatt MATH: 0475.46051
[D] M. Dadarlat, Approximately unitarily equivalent morphisms and inductive limit $C\sp \ast$-algebras, $K$-Theory 9 (1995), no. 2, 117–137.
Mathematical Reviews (MathSciNet): MR96h:46088
Zentralblatt MATH: 0828.46055
Digital Object Identifier: doi:10.1007/BF00961456
[DL1] M. Dadarlat and T. A. Loring, Classifying $C^{\ast}$-algebras via ordered $\mod$-$p$$K$-theory, to appear in Math. Ann.
Mathematical Reviews (MathSciNet): MR1399706
Zentralblatt MATH: 0857.46039
Digital Object Identifier: doi:10.1007/BF01444239
[DL2] M. Dadarlat and T. A. Loring, Extensions of certain real rank zero $C\sp *$-algebras, Ann. Inst. Fourier (Grenoble) 44 (1994), no. 3, 907–925.
Mathematical Reviews (MathSciNet): MR96b:46075
Zentralblatt MATH: 0814.46044
[DL3] M. Dadarlat and T. A. Loring, $K$-homology, asymptotic representations, and unsuspended $E$-theory, J. Funct. Anal. 126 (1994), no. 2, 367–383.
Mathematical Reviews (MathSciNet): MR96d:46092
Zentralblatt MATH: 0863.46045
Digital Object Identifier: doi:10.1006/jfan.1994.1151
[Ei] S. Eilers, A complete invariant for $AD$ algebras with bounded torsion in $K_1$, to appear in J. Funct. Anal.
Mathematical Reviews (MathSciNet): MR1402768
Zentralblatt MATH: 0866.46045
Digital Object Identifier: doi:10.1006/jfan.1996.0088
[Ell] G. Elliott, On the classification of $C\sp{\ast}$-algebras of real rank zero, J. Reine Angew. Math. 443 (1993), 179–219.
Mathematical Reviews (MathSciNet): MR94i:46074
Zentralblatt MATH: 0809.46067
Digital Object Identifier: doi:10.1515/crll.1993.443.179
[F] L. Fuchs, Infinite abelian groups. Vol. I, Pure and Applied Mathematics, Vol. 36, Academic Press, New York, 1970.
Mathematical Reviews (MathSciNet): MR41:333
Zentralblatt MATH: 0209.05503
[KS] J. Kaminker and C. Schochet, $K$-theory and Steenrod homology: applications to the Brown-Douglas-Fillmore theory of operator algebras, Trans. Amer. Math. Soc. 227 (1977), 63–107.
[Kar] M. Karoubi, $K$-théorie algébrique de certaines algèbres d'opérateurs, Algèbres d'opérateurs (Sém., Les Plans-sur-Bex, 1978), Lecture Notes in Math., vol. 725, Springer, Berlin, 1979, pp. 254–290.
Mathematical Reviews (MathSciNet): MR81i:46095
Zentralblatt MATH: 0444.46054
[Kas] 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
[Lo1] T. A. Loring, $C\sp{\ast}$-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
[Lo2] T. A. Loring, Stable relations II: corona semiprojectivity and dimension-drop $C^{\ast}$-algebras, to appear in Pacific J. Math.
Mathematical Reviews (MathSciNet): MR1386627
Zentralblatt MATH: 0854.46048
Project Euclid: euclid.pjm/1102366019
[LP] T. A. Loring and G. K. Pedersen, Smoothing techniques in $C^{\ast}$-algebra theory, preprint, 1994.
Mathematical Reviews (MathSciNet): MR1438197
Zentralblatt MATH: 0868.46043
[PS] V. Paulsen and N. Salinas, Two examples of nontrivial essentially $n$-normal operators, Indiana Univ. Math. J. 28 (1979), no. 5, 711–724.
Mathematical Reviews (MathSciNet): MR81c:47024
Zentralblatt MATH: 0458.46051
Digital Object Identifier: doi:10.1512/iumj.1979.28.28050
[Rø] M. Rørdam, Classification of certain infinite simple $C\sp{\ast]$-algebras, J. Funct. Anal. 131 (1995), no. 2, 415–458.
Mathematical Reviews (MathSciNet): MR96e:46080a
Zentralblatt MATH: 0831.46063
Digital Object Identifier: doi:10.1006/jfan.1995.1095
[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
[Sa] N. Salinas, Relative quasidiagonality and $KK$-theory, Houston J. Math. 18 (1992), no. 1, 97–116.
Mathematical Reviews (MathSciNet): MR94c:19005
Zentralblatt MATH: 0772.46039
[Sc1] C. Schochet, On the fine structure of the Kasparov groups, preprint.
[Sc2] C. Schochet, Topological methods for $C\sp{\ast}$-algebras. III. Axiomatic homology, Pacific J. Math. 114 (1984), no. 2, 399–445.
Mathematical Reviews (MathSciNet): MR86g:46102
Zentralblatt MATH: 0491.46061
Project Euclid: euclid.pjm/1102708717
[Sc3] C. Schochet, Topological methods for $C\sp{\ast}$-algebras. IV. Mod $p$ homology, Pacific J. Math. 114 (1984), no. 2, 447–468.
Mathematical Reviews (MathSciNet): MR86g:46103
Zentralblatt MATH: 0491.46062
Project Euclid: euclid.pjm/1102708718
[Sc4] C. Schochet, The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups, $K$-Theory 10 (1996), no. 1, 49–72.
Mathematical Reviews (MathSciNet): MR97d:46088
Zentralblatt MATH: 0839.19004
Digital Object Identifier: doi:10.1007/BF00534888
Duke Mathematical Journal
