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Pure infiniteness and ideal stru
c
ture of C
⁎
-algebras asso
c
iated to Fell bundles
详细信息
查看全文
作者:
Bartosz
Kosma
Kwaśniewski
a
;
b
;
bartoszk@math.uwb.edu.pl"
c
lass="auth_mail" title="E-mail the
c
orresponding author
;
Woj
c
ie
c
h Szymański
a
;
szymanski@imada.sdu.dk"
c
lass="auth_mail" title="E-mail the
c
orresponding author
关键词:
Fell bundle
;
Aperiodi
c
ity
;
Paradoxi
c
ality
;
Pure infiniteness
;
Ideals
;
C
ross-se
c
tional algebra
刊名:Journal of Mathemati
c
al Analysis and Appli
c
ations
出版年:2017
出版时间:1 January 2017
年:2017
卷:445
期:1
页码:898-943
全文大小:944 K
文摘
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c
tural properties of the redu
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ross-se
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tional algebra
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C
r
⁎
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of a Fell bundle
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over a dis
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. Conditions allowing one to determine the ideal stru
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C
r
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are studied. Notions of aperiodi
c
ity, paradoxi
c
ality and
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-infiniteness for the Fell bundle
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are introdu
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ed and investigated by themselves and in relation to the partial dynami
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al system dual to
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. Several
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riteria of pure infiniteness of
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C
r
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are given. It is shown that they generalize and unify
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orresponding results obtained in the
c
ontext of
c
rossed produ
c
ts, by the following duos: La
c
a, Spielberg
[34]
; Jolissaint, Robertson
[21]
; Sierakowski, Rørdam
[47]
; Giordano, Sierakowski
[18]
and Ortega, Pardo
[39]
. For exa
c
t, separable Fell bundles satisfying the residual interse
c
tion property primitive ideal spa
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e of
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is determined. The results of the paper are shown to be optimal when applied to graph
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C
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-algebras. Appli
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lass of Exel–Larsen
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rossed produ
c
ts are presented.
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