منابع مشابه
Non Commutative Finite Dimensional Manifolds Ii: Moduli Space and Structure of Non Commutative 3-spheres
This paper contains detailed proofs of our results on the moduli space and the structure of noncommutative 3-spheres. We develop the notion of central quadratic form for quadratic algebras, and a general theory which creates a bridge between noncommutative differential geometry and its purely algebraic counterpart. It allows to construct a morphism from an involutive quadratic algebras to a C*-...
متن کاملOn non-commutative Minkowski spheres
The purpose of the following is to try to make sense of the stereographic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version of a hyperbolic metric and ask for a manifold onto which the open unit ball can be mapped so that one might think of this situation as providing a...
متن کاملq-Index on braided non-commutative spheres
To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we assign algebras called braided non-commutative spheres. For any such algebra, we introduce and compute a q-analog of the Chern-Connes index. Unlike the standard Chern-Connes index, ours is based on the so-called categorical trace specific for a braided category in which the algebra in question is represented. AMS Mathematics...
متن کاملNon-commutative Spheres and Numerical Quantum Mechanics
We discuss some basic issues that arise when one attempts to model quantum mechanical systems on a computer, and we describe the mathematical structure of the resulting discretized cannonical commutation relations. The C∗algebras associated with the discretized CCRs are the non-commutative spheres of Bratteli, Elliott, Evans and Kishimoto. 1991 Mathematics Subject Classification. Primary 46L40;...
متن کاملDirac monopoles from the Matsumoto non-commutative spheres
It is shown that the non-commutative three-sphere introduced by Matsumoto is a total space of the quantum Hopf bundle over the classical two-sphere. A canonical connection is constructed, and is shown to coincide with the standard Dirac magnetic monopole.
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ژورنال
عنوان ژورنال: Japanese journal of mathematics. New series
سال: 1991
ISSN: 0289-2316,1861-3624
DOI: 10.4099/math1924.17.333