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- W2410574394 abstract "Let A be a stable, σ-unital, continuous C 0(X)-algebra with surjective base map φ :(mathrm{Prim}(A);rightarrow X), where Prim(A) is the primitive ideal space of the C*-algebra A. Suppose that (phi^{-1}(x)) is contained in a limit set in Prim(A) for each (x in X) (so that A is quasi-standard). Let CR(X) be the ring of continuous real-valued functions on X. It is shown that there is a homeomorphism between the space of minimal prime ideals of CR(X) and the space MinPrimal(M(A)) of minimal closed primal ideals of the multiplier algebra M(A). If A is separable then MinPrimal(M(A)) is compact and extremally disconnected but if (X = beta bf{N} setminus bf{N}) then MinPrimal(M(A)) is nowhere locally compact." @default.
- W2410574394 created "2016-06-24" @default.
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- W2410574394 date "2015-01-01" @default.
- W2410574394 modified "2023-09-27" @default.
- W2410574394 title "Minimal Primal Ideals in the Multiplier Algebra of a C 0(X)-algebra" @default.
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- W2410574394 doi "https://doi.org/10.1007/978-3-319-18494-4_2" @default.
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