@inproceedings{3b1aaebb341142049252a26903eb868d,
title = "Minimal Primal Ideals in the Multiplier Algebra of a C0(X)-algebra",
abstract = "Let A be a stable, sigma-unital, continuous C-0(X)-algebra with surjective base map phi : Prim(A) -> 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 is an element of X (so that A is quasi-standard). Let C-R(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 C-R(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 N \ N then MinPrimal(M(A)) is nowhere locally compact.",
keywords = "C∗-algebra, C0(X)-algebra, multiplier algebra, minimal prime ideal, minimal primal ideal, primitive ideal space, quasi standard",
author = "Archbold, {R. J.} and Somerset, {D. W. B.}",
year = "2015",
doi = "10.1007/978-3-319-18494-4_2",
language = "English",
isbn = "978-3-319-18493-7",
series = "Operator Theory: Advances and Applications",
publisher = "Springer ",
pages = "17--29",
editor = "Wolfgang Arendt and Ralph Chill and Yuri Tomilov",
booktitle = "Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics",
note = "Conference on Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics ; Conference date: 01-06-2013 Through 01-06-2013",
}