A note on τ-convergence, τ-convergent algebra and applications

Chao You

doi:10.1016/j.topol.2012.01.003

A note on τ-convergence, τ-convergent algebra and applications

Chao You^*

^*Corresponding author for this work

School of Mathematics

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

Abstract

To extract a unital commutative C ^*-algebra from the space lac∞(N,C) of almost convergent sequences, the concept of multiplier is introduced and characterized by τ-convergence. For applications, it is proved that the maximal ideal space τN of τ-convergent algebra Mτ is a compactification of N, which includes βN as a closed subset, and Mτ provides an example of non-C ^*-reflexive C ^*-algebra according to Frank-Manuilov-Troitsky's criterion.

Original language	English
Pages (from-to)	1433-1438
Number of pages	6
Journal	Topology and its Applications
Volume	159
Issue number	5
DOIs	https://doi.org/10.1016/j.topol.2012.01.003
State	Published - 15 Mar 2012

Keywords

C -reflexivity
Multiplier
τ-Compactification
τ-Convergence
τ-Convergent algebra

Access to Document

10.1016/j.topol.2012.01.003

Cite this

@article{bd2ab3ad0e9d4c4ba780489bd22f0d10,

title = "A note on τ-convergence, τ-convergent algebra and applications",

abstract = "To extract a unital commutative C *-algebra from the space lac∞(N,C) of almost convergent sequences, the concept of multiplier is introduced and characterized by τ-convergence. For applications, it is proved that the maximal ideal space τN of τ-convergent algebra Mτ is a compactification of N, which includes βN as a closed subset, and Mτ provides an example of non-C *-reflexive C *-algebra according to Frank-Manuilov-Troitsky's criterion.",

keywords = "C -reflexivity, Multiplier, τ-Compactification, τ-Convergence, τ-Convergent algebra",

author = "Chao You",

year = "2012",

month = mar,

day = "15",

doi = "10.1016/j.topol.2012.01.003",

language = "英语",

volume = "159",

pages = "1433--1438",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier B.V.",

number = "5",

}

TY - JOUR

T1 - A note on τ-convergence, τ-convergent algebra and applications

AU - You, Chao

PY - 2012/3/15

Y1 - 2012/3/15

N2 - To extract a unital commutative C *-algebra from the space lac∞(N,C) of almost convergent sequences, the concept of multiplier is introduced and characterized by τ-convergence. For applications, it is proved that the maximal ideal space τN of τ-convergent algebra Mτ is a compactification of N, which includes βN as a closed subset, and Mτ provides an example of non-C *-reflexive C *-algebra according to Frank-Manuilov-Troitsky's criterion.

AB - To extract a unital commutative C *-algebra from the space lac∞(N,C) of almost convergent sequences, the concept of multiplier is introduced and characterized by τ-convergence. For applications, it is proved that the maximal ideal space τN of τ-convergent algebra Mτ is a compactification of N, which includes βN as a closed subset, and Mτ provides an example of non-C *-reflexive C *-algebra according to Frank-Manuilov-Troitsky's criterion.

KW - C -reflexivity

KW - Multiplier

KW - τ-Compactification

KW - τ-Convergence

KW - τ-Convergent algebra

UR - https://www.scopus.com/pages/publications/84856344096

U2 - 10.1016/j.topol.2012.01.003

DO - 10.1016/j.topol.2012.01.003

M3 - 文章

AN - SCOPUS:84856344096

SN - 0166-8641

VL - 159

SP - 1433

EP - 1438

JO - Topology and its Applications

JF - Topology and its Applications

IS - 5

ER -

A note on τ-convergence, τ-convergent algebra and applications

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this