Displaying similar documents to “Hyperbolic geometry on noncommutative balls.”

Covariance algebra of a partial dynamical system

Bartosz Kosma Kwaśniewski (2005)

Open Mathematics

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A pair (X, α) is a partial dynamical system if X is a compact topological space and α: Δ→ X is a continuous mapping such that Δ is open. Additionally we assume here that Δ is closed and α(Δ) is open. Such systems arise naturally while dealing with commutative C *-dynamical systems. In this paper we construct and investigate a universal C *-algebra C *(X,α) which agrees with the partial crossed product [10] in the case α is injective, and with the crossed product by a monomorphism [22]...

The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension

Anatoliy Samoilenko, Yarema Prykarpatsky, Anatoliy Prykarpatsky (2005)

Open Mathematics

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The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, related with selfdual Yang-Mills eqautions. The construction of soliton-like solutions to the related set of nonlinear dynamical system is discussed.