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408 D. Kucerovsky / Journal of Functional Analysis 236 (2006) 395–408<br />

[6] G.A. Elliott, D. Kucerovsky, An abstract Brown–Doug<strong>la</strong>s–Fillmore absorption theorem, Pacific J. Math. 198 (2001)<br />

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[10] G.G. Kasparov, Hilbert C ∗ -mo<strong>du</strong><strong>le</strong>s: Theorems of Stinespring and Voicu<strong>le</strong>scu, J. Operator Theory 4 (1980) 133–<br />

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[13] D. Kucerovsky, The nonsimp<strong>le</strong> absorption theorem, preprint, 2000.<br />

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[26] J. Cuntz, N. Higson, Kuiper’s theorem for Hilbert mo<strong>du</strong><strong>le</strong>s, in: Contemp. Math., vol. 62, Amer. Math. Soc., 1987,<br />

pp. 429–434.<br />

[27] N. Higson, A characterization of KK-theory, Pacific J. Math. 126 (1987) 253–276.<br />

[28] J. Hjelmborg, M. Rørdam, On stability of C ∗ -algebras, J. Funct. Anal. 155 (1998) 153–170.<br />

[29] D. Kucerovsky, Kasparov pro<strong>du</strong>cts in KK-theory and unboun<strong>de</strong>d operators with applications to in<strong>de</strong>x theory, thesis,<br />

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[30] D. Kucerovsky, Extensions of C ∗ algebras with the corona factorization property, Int. J. Pure Appl. Math. 16 (2)<br />

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[31] J.A. Mingo, K-theory and multipliers of stab<strong>le</strong> C ∗ -algebras, Trans. Amer. Math. Soc. 299 (1987) 397–411.<br />

[32] G.K. Pe<strong>de</strong>rsen, C ∗ -Algebras and Their Automorphism Groups, Aca<strong>de</strong>mic Press, 1979.<br />

[33] M. Rørdam, A simp<strong>le</strong> C ∗ -algebra with a finite and an infinite projection, preprint, 2002.<br />

[34] K. Thomsen, On absorbing extensions, Proc. Amer. Math. Soc. 129 (2001) 1409–1417.<br />

[35] D.V. Voicu<strong>le</strong>scu, A non-commutative Weyl–von Neumann theorem, Rev. Roumaine Math. Pures Appl. 21 (1976)<br />

97–113.<br />

[36] J. von Neumann, Charakterisierung <strong>de</strong>s Spektrums eines Integraloperators, Actualites Sci. In<strong>du</strong>st., vol. 229, Hermann,<br />

Paris, 1935.<br />

[37] R.C. Walker, The Stone–Čech Compactification, Springer, 1974.<br />

[38] N.E. Wegge-Olsen, K-Theory and C ∗ -Algebras, Oxford Univ. Press, Oxford, 1993.

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