Circle Actions on C*-Algebras, Partial Automorphisms, and a Generalized Pimsner-Voiculescu Exact Sequence
نویسندگان
چکیده
منابع مشابه
Title: a Canonical Form of the Pimsner-voiculescu Embedding
In joint work with Zhuang Niu, an embedding of the irrational rotation C *-algebra in an AF algebra has been constructed which does not involve the arbitrary choices present in the original Pimsner-Voiculescu embedding. While the AF algebra is the same in the two cases, in the sense that the two AF algebras constructed are isomorphic, it is not quite clear what the relation is between the const...
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Applications of fractional time derivatives in physics and engineering require the existence of nontranslational time automorphisms on the appropriate algebra of observables. The existence of time automorphisms on commutative and noncommutative C∗-algebras for interacting many-body systems is investigated in this article. A mathematical framework is given to discuss local stationarity in time a...
متن کاملExactness of Cuntz–pimsner C–algebras
Let H be a full Hilbert bimodule over a C-algebra A. We show that the Cuntz–Pimsner algebra associated to H is exact if and only if A is exact. Using this result, we give alternative proofs for exactness of reduced amalgemated free products of exact C– algebras. In the case that A is a finite–dimensional C–algebra, we also show that the Brown–Voiculescu topological entropy of Bogljubov automorp...
متن کاملCuntz-Pimsner C-algebras associated with subshifts
By using C∗-correspondences and Cuntz-Pimsner algebras, we associate to every subshift (also called a shift space) X a C∗-algebra OX, which is a generalization of the Cuntz-Krieger algebras. We show that OX is the universal C ∗-algebra generated by partial isometries satisfying relations given by X. We also show thatOX is a one-sided conjugacy invariant of X.
متن کاملOn Certain Cuntz-pimsner Algebras
Let A be a separable unital C*-algebra and let π : A → L(H) be a faithful representation of A on a separable Hilbert space H such that π(A) ∩ K(H) = {0}. We show that OE , the Cuntz-Pimsner algebra associated to the Hilbert A-bimodule E = H⊗C A, is simple and purely infinite. If A is nuclear and belongs to the bootstrap class to which the UCT applies, then the same applies to OE . Hence by the ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1994
ISSN: 0022-1236
DOI: 10.1006/jfan.1994.1073