We inve
stig
ate
structur
al propertie
s of the reduced cro
ss-
section
al
algebr
a <
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an>
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a Fell bundle <
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an>
sp
an>
sp
an> over
a di
screte group
G . Condition
s allowing one to determine the ide
al
structure of <
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are
studied. Notion
s of
aperiodicity, p
ar
adoxic
ality
and <
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sp
an>-infinitene
ss for the Fell bundle <
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an>
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an>
are introduced
and inve
stig
ated by them
selve
s and in rel
ation to the p
arti
al dyn
amic
al
sy
stem du
al to <
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an>
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an>
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an>. Sever
al criteri
a of pure infinitene
ss of <
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an>
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an>
are given. It i
s shown th
at they gener
alize
and unify corre
sponding re
sult
s obt
ained in the context of cro
ssed product
s, by the following duo
s: L
ac
a, Spielberg <
sp
an id="bbr0340">[34]
a>
sp
an>; Joli
ssaint, Robert
son <
sp
an id="bbr0210">[21]
a>
sp
an>; Sier
akow
ski, R&o
sl
ash;rd
am <
sp
an id="bbr0470">[47]
a>
sp
an>; Giord
ano, Sier
akow
ski <
sp
an id="bbr0180">[18]
a>
sp
an>
and Orteg
a, P
ardo <
sp
an id="bbr0390">[39]
a>
sp
an>. For ex
act,
sep
ar
able Fell bundle
s sati
sfying the re
sidu
al inter
section property primitive ide
al
sp
ace of <
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sp
an>
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sp
an> i
s determined. The re
sult
s of the p
aper
are
shown to be optim
al when
applied to gr
aph <
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sp
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algebr
as. Applic
ation
s to
a cl
ass of Exel&nd
ash;L
ar
sen cro
ssed product
s are pre
sented.