THE DUAL STRUCTURE OF CROSSED PRODUCT -ALGEBRAS WITH FINITE GROUPS
2013 ◽
Vol 88
(2)
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pp. 243-249
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Keyword(s):
AbstractWe study the space of irreducible representations of a crossed product ${C}^{\ast } $-algebra ${\mathop{A\rtimes }\nolimits}_{\sigma } G$, where $G$ is a finite group. We construct a space $\widetilde {\Gamma } $ which consists of pairs of irreducible representations of $A$ and irreducible projective representations of subgroups of $G$. We show that there is a natural action of $G$ on $\widetilde {\Gamma } $ and that the orbit space $G\setminus \widetilde {\Gamma } $ corresponds bijectively to the dual of ${\mathop{A\rtimes }\nolimits}_{\sigma } G$.
1963 ◽
Vol 15
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pp. 605-612
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Keyword(s):
2004 ◽
Vol 69
(1)
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pp. 161-171
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1990 ◽
Vol 107
(1)
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pp. 27-32
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2010 ◽
Vol 88
(3)
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pp. 363-383
Keyword(s):
2021 ◽
Vol 25
(31)
◽
pp. 897-902
Keyword(s):
1969 ◽
Vol 10
(3-4)
◽
pp. 359-362
Keyword(s):