Amenable Groups and Generalized Cuntz Algebras
نویسندگان
چکیده
منابع مشابه
Generalized permutative representations of the Cuntz algebras
We introduce representations of the Cuntz algebra ON which are parameterized by sequences in the set of unit vectors inC . These representations are natural generalization of permutative representations by Bratteli-Jorgensen and Davidson-Pitts. We show their existence, irreducibility, equivalence, uniqueness of irreducible decomposition and decomposition formulae by using parameters of represen...
متن کاملGeneralized permutative representations of Cuntz algebras
We introduce representations of the Cuntz algebra ON which are parameterized by sequences in the set of unit vectors inC . These representations are natural generalizations of permutative representations by Bratteli-Jorgensen and Davidson-Pitts. We show their existence, irreducibility, equivalence, uniqueness of irreducible decomposition and decomposition formulae by using parameters of represe...
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We give a construction of a nuclear C∗-algebra associated with an amalgamated free product of groups, generalizing Spielberg’s construction of a certain Cuntz-Krieger algebra associated with a finitely generated free product of cyclic groups. Our nuclear C∗-algebras can be identified with certain Cuntz-Krieger-Pimsner algebras. We will also show that our algebras can be obtained by the crossed ...
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Introduction. In this paper we shall be concerned with the structure of the rational representation of certain sets of matrices, to which we give the name generalized Fischer sets. If K is any field, any fixed automorphism of K, and A any matrix with elements in K, we use the notation A* for the 0-automorph of A ; that is, the matrix obtained from A by subjecting each of its elements to the...
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In purely infinite factors, P. de la Harpe proved that a normal subgroup of the unitary group which contains a non-trivial self-adjoint unitary contains all self-adjoint unitaries of the factor. Also he proved the same result in finite continuous factors. In a previous work the author proved a similar result in some types of unital AF-algebras. In this paper we extend the result of de la Harpe,...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1997
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.3058