@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",

}