The stone-Čech compactification of prim A

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

For a C*-algebra A, we give simple proofs of the following: Cb (Prim A) is isomorphic to the centre ZM(A) of the multiplier algebra, Cb (Prim A) is isomorphic to C (Prim M(A)) and Prim ZM(A) is the Stone-Čech compactification of Prim A.

Original languageEnglish (US)
Pages (from-to)377-383
Number of pages7
JournalBulletin of the Australian Mathematical Society
Volume52
Issue number3
DOIs
StatePublished - Jan 1 1995

Fingerprint

Compactification
Isomorphic
Multiplier Algebra
C*-algebra

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The stone-Čech compactification of prim A. / Boggess, May.

In: Bulletin of the Australian Mathematical Society, Vol. 52, No. 3, 01.01.1995, p. 377-383.

Research output: Contribution to journalArticle

@article{4525bdd6ad4240bb9c8ae1e49a79d3aa,
title = "The stone-Čech compactification of prim A",
abstract = "For a C*-algebra A, we give simple proofs of the following: Cb (Prim A) is isomorphic to the centre ZM(A) of the multiplier algebra, Cb (Prim A) is isomorphic to C (Prim M(A)) and Prim ZM(A) is the Stone-Čech compactification of Prim A.",
author = "May Boggess",
year = "1995",
month = "1",
day = "1",
doi = "10.1017/S0004972700014878",
language = "English (US)",
volume = "52",
pages = "377--383",
journal = "Bulletin of the Australian Mathematical Society",
issn = "0004-9727",
publisher = "Cambridge University Press",
number = "3",

}

TY - JOUR

T1 - The stone-Čech compactification of prim A

AU - Boggess, May

PY - 1995/1/1

Y1 - 1995/1/1

N2 - For a C*-algebra A, we give simple proofs of the following: Cb (Prim A) is isomorphic to the centre ZM(A) of the multiplier algebra, Cb (Prim A) is isomorphic to C (Prim M(A)) and Prim ZM(A) is the Stone-Čech compactification of Prim A.

AB - For a C*-algebra A, we give simple proofs of the following: Cb (Prim A) is isomorphic to the centre ZM(A) of the multiplier algebra, Cb (Prim A) is isomorphic to C (Prim M(A)) and Prim ZM(A) is the Stone-Čech compactification of Prim A.

UR - http://www.scopus.com/inward/record.url?scp=84974325112&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84974325112&partnerID=8YFLogxK

U2 - 10.1017/S0004972700014878

DO - 10.1017/S0004972700014878

M3 - Article

VL - 52

SP - 377

EP - 383

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 3

ER -