Geodesic
A Counterexample in the Perturbation Theory of C*-Algebras
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 311-316

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The strongest positive results in the stability theory of C*-algebras assert that if are sufficiently close C*-subalgebras of (H) of certain kinds, then there is a unitary operator U on H near I, such that . We give examples of C*-algebras ,both isomorphic to the algebra of continuous functions from [0, 1] to the algebra of compact operators on Hilbert space, which can be as close as we like, yet for which there is no isomorphism α: → with . Thus the results mentioned do not extend to these C*-algebras.
DOI : 10.4153/CMB-1982-043-4
Mots-clés : 46L05 
Johnson, B. E. A Counterexample in the Perturbation Theory of C*-Algebras. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 311-316. doi: 10.4153/CMB-1982-043-4
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     title = {A {Counterexample} in the {Perturbation} {Theory} of {C*-Algebras}},
     journal = {Canadian mathematical bulletin},
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     year = {1982},
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