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Full-Text Articles in Social and Behavioral Sciences
Families Of Type Iii Kms States On A Class Of C-Algebras Containing On And Qn, A L. Carey, J Phillips, I F. Putnam, A Rennie
Families Of Type Iii Kms States On A Class Of C-Algebras Containing On And Qn, A L. Carey, J Phillips, I F. Putnam, A Rennie
Faculty of Engineering and Information Sciences - Papers: Part A
We construct a family of purely infinite C¤-algebras, Q¸ for ¸ 2 (0, 1) that are classified by their K-groups. There is an action of the circle T with a unique KMS state à on each Q¸. For ¸ = 1/n, Q1/n »= On, with its usual T action and KMS state. For ¸ = p/q, rational in lowest terms, Q¸ »= On (n = q − p + 1) with UHF fixed point algebra of type (pq)1. For any n > 1, Q¸ »= On for infinitely many ¸ with distinct KMS states and UHF fixed-point algebras. For any ¸ …
Purely Infinite Simple C*-Algebras Associated To Integer Dilation Matrices, Ruy Exel, Astrid An Huef, Iain Raeburn
Purely Infinite Simple C*-Algebras Associated To Integer Dilation Matrices, Ruy Exel, Astrid An Huef, Iain Raeburn
Faculty of Engineering and Information Sciences - Papers: Part A
Given an n×n integer matrix A whose eigenvalues are strictly greater than 1 in absolute value, let σA be the transformation of the n-torus Tn = Rn/Zn defined by σA(e2πix) = e2πiAx for x ∈ Rn. We study the associated crossed-product C∗-algebra, which is defined using a certain transfer operator for σA, proving it to be simple and purely infinite and computing its K-theory groups.
C*-Algebras Associated To C*-Correspondences And Applications To Mirror Quantum Spheres, David I. Robertson, Wojciech Szymanski
C*-Algebras Associated To C*-Correspondences And Applications To Mirror Quantum Spheres, David I. Robertson, Wojciech Szymanski
Faculty of Engineering and Information Sciences - Papers: Part A
The structure of the C*-algebras corresponding to even-dimensional mirror quantum spheres is investigated. It is shown that they are isomorphic to both Cuntz-Pimsner algebras of certain C*-correspondences and C*-algebras of certain labelled graphs. In order to achieve this, categories of labelled graphs and C*-correspondences are studied. A functor from labelled graphs to C*-correspondences is constructed, such that the corresponding associated C*-algebras are isomorphic. Furthermore, it is shown that C*-correspondences for the mirror quantum spheres arise via a general construction of restricted direct sum.