A Counterexample in the Perturbation Theory of C*-Algebras
1982 ◽
Vol 25
(3)
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pp. 311-316
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AbstractThe 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.
2005 ◽
Vol 79
(3)
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pp. 391-398
1974 ◽
Vol 19
(1)
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pp. 51-58
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1997 ◽
Vol 49
(6)
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pp. 1188-1205
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2000 ◽
Vol 20
(3)
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pp. 821-841
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2016 ◽
Vol 59
(1)
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pp. 1-10
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2007 ◽
Vol 10
(01)
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pp. 67-77
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