Irreducible representations of crossed products

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Irreducible representations of crossed products of the Cuntz algebras and isotropy subgroups of the unitary group

For an element x of the Cuntz algebra ON , define the isotropy subgroup Gx ≡ {g ∈ U(N) : αg(x) = x} of the unitary group U(N) with respect to the canonical action α of U(N) on ON . We have irreducible representations of the crossed product ONoGx by extending irreducible generalized permutative representations of ON and irreducible representation of Gx. ¿From this, the Peter-Weyl theorem for Gx ...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 1998

ISSN: 0022-4049

DOI: 10.1016/s0022-4049(97)00077-7