Estimation optimale du gradient du semi-groupe de la chaleur sur le ...
Estimation optimale du gradient du semi-groupe de la chaleur sur le ...
Estimation optimale du gradient du semi-groupe de la chaleur sur le ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
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 />
385–409.<br />
[7] R. Engelking, Intro<strong>du</strong>ction to General Topology, second ed., Sigma Ser. Pure Math., vol. 6, Hel<strong>de</strong>rmann, 1989.<br />
[8] L. Gillman, M. Jerison, Rings of Continuous Functions, van Nostrand, 1960.<br />
[9] D. Hadwin, Comp<strong>le</strong>tely positive maps and approximate equiva<strong>le</strong>nce, Indiana Univ. Math. J. 36 (1987) 211–228.<br />
[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 />
150.<br />
[11] G.G. Kasparov, The operator K-functor and extension of C ∗ -algebras, Tr. Math. USSR Izv. 16 (1981) 513–636.<br />
[12] E. Kirchberg, M. Rørdam, Nonsimp<strong>le</strong> purely infinite C ∗ -algebras, preprint, 1999.<br />
[13] D. Kucerovsky, The nonsimp<strong>le</strong> absorption theorem, preprint, 2000.<br />
[14] D. Kucerovsky, Extensions contained in i<strong>de</strong>als, Trans. Amer. Math. Soc. (E<strong>le</strong>ctronic, posted August 25, 2003).<br />
[15] D. Kucerovsky, Commutative subalgebras of the corona, Proc. Amer. Math. Soc. 132 (10) (2004) 3027–3034.<br />
[16] D. Kucerovsky, P.W. Ng, The corona factorization property and approximate unitary equiva<strong>le</strong>nce, Houston J. Math.,<br />
in press.<br />
[17] D. Kucerovsky, P.W. Ng, Decomposition rank and absorbing extensions of type I algebras, J. Funct. Anal. 221 (1)<br />
(2005) 25–36.<br />
[18] I.I. Parovičenko, On a universal bicompactum of weight ℵ, Soviet Math. 4 (1963) 592–595.<br />
[19] I. Raeburn, S.J. Thompson, Countably generated Hilbert mo<strong>du</strong><strong>le</strong>s, the Kasparov stabilization theorem, and frames<br />
with Hilbert mo<strong>du</strong><strong>le</strong>s, Proc. Amer. Math. Soc. 131 (2003) 1557–1564.<br />
[20] Rickart, General Theory of Banach Algebras, Van Nostrand, Princeton, 1960.<br />
[21] M. Rørdam, On stab<strong>le</strong> C ∗ -algebras, preprint.<br />
[22] R.G. Woods, Co-absolutes of remain<strong>de</strong>rs of Stone–Čech compactifications, Pacific J. Math. 37 (1971) 545–560.<br />
Further reading<br />
[23] I.D. Berg, An extension of the Weyl–von Neumann theorem to normal operators, Trans. Amer. Math. Soc. 160<br />
(1971) 365–371.<br />
[24] M.D. Choi, E.G. Effros, The comp<strong>le</strong>tely positive lifting prob<strong>le</strong>m for C ∗ -algebras, Ann. of Math. (2) 104 (1976)<br />
585–609.<br />
[25] P.J. Cohen, Factorization in group algebras, Duke Math. J. 26 (1959) 199–205.<br />
[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 />
University of Oxford (Magd.), 1995.<br />
[30] D. Kucerovsky, Extensions of C ∗ algebras with the corona factorization property, Int. J. Pure Appl. Math. 16 (2)<br />
(2004) 181–191.<br />
[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.