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- W2076102783 abstract "Abstract Representations of non-type I groups G which may be expressed as an increasing union of type I normal subgroups are considered. Groups with this structure are natural generalisations of the CAR algebra (viewed as a twisted group C *-algebra) and are also group theoretic analogues of AF algebras. This paper gives a systematic account of their representation theory based on a canonical construction of one-cocycles for the G -action on the dual of a normal subgroup. Some examples are considered showing how to construct inquivalent irreducible representations (non-cohomologous cocycles) and also factor representations by a method which generalises the well-known construction of non-isomorphic factors for the CAR algebra." @default.
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- W2076102783 date "1986-02-01" @default.
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- W2076102783 title "Cocycles and representations of groups of CAR type" @default.
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- W2076102783 doi "https://doi.org/10.1017/s1446788700026471" @default.
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