Linear functionals on the Cuntz algebra
نویسندگان
چکیده
منابع مشابه
Polynomial embedding of Cuntz-Krieger algebra into Cuntz algebra
For any Cuntz-Krieger algebra OA, we construct embeddings of OA into the Cuntz algebra O2 such that the canonical generators of OA are written as polynomials in those of O2. Mathematics Subject Classifications (2000). 47L55, 81T05.
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15 صفحه اولRecursive Fermion System in Cuntz Algebra . I — Embeddings of Fermion Algebra into Cuntz Algebra —
Embeddings of the CAR (canonical anticommutation relations) algebra of fermions into the Cuntz algebra O2 (or O2d more generally) are presented by using recursive constructions. As a typical example, an embedding of CAR onto the U(1)-invariant subalgebra of O2 is constructed explicitly. Generalizing this construction to the case of O2p , an embedding of CAR onto the U(1)-invariant subalgebra of...
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We investigate the structure of the automorphism of O2 which exchanges the two canonical isometries. Our main observation is that the fixed point C*-subalgebra for this action is isomorphic to O2 and we detail the relationship between the crossed-product and fixed point subalgebra. This paper studies the structure of the fixed point C*-algebra of the action of Z2 which switches the canonical ge...
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We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2005
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-05-07886-x