M-ideals and quotients of subdiagonal algebras

Yiu Tung Poon; Zhong Jin Ruan

doi:10.1016/0022-1236(92)90076-U

M-ideals and quotients of subdiagonal algebras

Yiu Tung Poon, Zhong Jin Ruan

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the M-ideals and quotients of subdiagonal algebras. Particular attention is given to the subdiagonal algebras A of groupoid C^*-algebras, where all groupoids are assumed to be amenable r-discrete principal with a cover by clopen G-sets. One of the major results shows that given such A and an M-ideal J in A, both J and A J are subdiagonal algebras of groupoid C^*-algebras.

Original language	English (US)
Pages (from-to)	144-170
Number of pages	27
Journal	Journal of Functional Analysis
Volume	105
Issue number	1
DOIs	https://doi.org/10.1016/0022-1236(92)90076-U
State	Published - Apr 1992

ASJC Scopus subject areas

Analysis

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title = "M-ideals and quotients of subdiagonal algebras",

abstract = "In this paper, we study the M-ideals and quotients of subdiagonal algebras. Particular attention is given to the subdiagonal algebras A of groupoid C*-algebras, where all groupoids are assumed to be amenable r-discrete principal with a cover by clopen G-sets. One of the major results shows that given such A and an M-ideal J in A, both J and A J are subdiagonal algebras of groupoid C*-algebras.",

author = "Poon, {Yiu Tung} and Ruan, {Zhong Jin}",

note = "Funding Information: * This research was partially supported by the National Science Foundation for Advanced Study in the University of Illinois at Urbana-Champaign.",

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AU - Ruan, Zhong Jin

N1 - Funding Information: * This research was partially supported by the National Science Foundation for Advanced Study in the University of Illinois at Urbana-Champaign.

PY - 1992/4

Y1 - 1992/4

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AB - In this paper, we study the M-ideals and quotients of subdiagonal algebras. Particular attention is given to the subdiagonal algebras A of groupoid C*-algebras, where all groupoids are assumed to be amenable r-discrete principal with a cover by clopen G-sets. One of the major results shows that given such A and an M-ideal J in A, both J and A J are subdiagonal algebras of groupoid C*-algebras.

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M-ideals and quotients of subdiagonal algebras

Abstract

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