Approximation of normal elements in the multiplier algebra of an AF 𝐶*-algebra

Loring, Terry A.; Spielberg, Jack

doi:10.1090/S0002-9939-1994-1211584-5

Approximation of normal elements in the multiplier algebra of an AF $C^ *$-algebra
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by Terry A. Loring and Jack Spielberg PDF

Proc. Amer. Math. Soc. 121 (1994), 1173-1175 Request permission

Abstract:

It is shown that there is a simple separable AF algebra A such that $M(\mathcal {K} \otimes A)$ does not have weak (FN) and such that the generalized Berg-Weylvon Neumann Theorem does not hold for $\mathcal {K} \otimes A$.

References

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Approximation by normal elements with finite spectra in

algebras of real rank zero

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Normal elements of

algebras of real rank zero without finite-spectrum approximants

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