We associate to each discrete partial dynamical system a universal C-algebra generated by partial isometries satisfying relations given by a Boolean algebra connected to the discrete partialâ€¦ (More)

In this article, we use Exelâ€™s construction to associate a Câˆ—-algebra to every shift space. We show that it has the Câˆ—-algebra defined in [13] as a quotient, and possesses properties indicating thatâ€¦ (More)

By using Câˆ—-correspondences and Cuntz-Pimsner algebras, we associate to every subshift (also called a shift space) X a Câˆ—-algebra OX, which is a generalization of the Cuntz-Krieger algebras. We showâ€¦ (More)

By using Câˆ—-correspondences and Cuntz-Pimsner algebras, we associate to every subshift X a Câˆ—-algebra OX, which is a generalization of the Cuntz-Krieger algebra. We show that OX is the universalâ€¦ (More)

For dynamical systems defined by a covering map of a compact Hausdorff space and the corresponding transfer operator, the associated crossed product Câˆ—-algebras C(X) â‹ŠÎ±,L N introduced by Exel andâ€¦ (More)

In [24] Matsumoto associated to each shift space (also called a subshift) an Abelian group which is now known as Matsumotoâ€™s K0-group. It is defined as the cokernel of a certain map and resembles theâ€¦ (More)

A canonical cover generalizing the left Fischer cover to arbitrary sofic shifts is introduced and used to prove that the left Krieger cover and the past set cover of a sofic shift can be divided intoâ€¦ (More)

Kazhdan and Wenzl classi ed all tensor categories which have a fusion ring isomorphic to the fusion ring of the group SU(d). In this talk we will consider the Câˆ—-analogue of this problem. Given aâ€¦ (More)