Results 121 to 130 of about 17,456 (150)

Noncommutative Topologies, Localization, and Sheaves

Communications in Algebra, 2008
In this note, we introduce and study the notion of sheaf on a noncommutative topology and construct an associated sheafification functor in this noncommutative context. It appears that abstract localization in the category of presheaves on a partially ordered set provides an elegant way to define this sheafification functor, generalizing similar ...
Aguilar, Judit Mendoza, Reyes Sanchez, M.V., Verschoren, Alain   +2 more
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Noncommutative topological dynamics

Proceedings of the London Mathematical Society, 2016
When a group acts on a \(C^*\)-algebra \(A\), this induces actions on the Cuntz semigroup \(W(A)\) of \(A\) and on the \(K\)-theory group \(K_0(A)\). The present article studies to what extent important properties of the dynamics may be captured by these induced actions, which are much simpler than the original action.
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Noncommutative Topology: Spaces

2001
The geometrical study of quadratic curves or surfaces, i.e., zero sets of second-degree polynomials, proceeds by examining points of intersection or tangent lines directly; but already for cubic curves it pays to examine first the ideal of all polynomials that vanish on the curve: in this way the study of an algebraic variety (the zero set of a given ...
José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa   +2 more
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Noncommutative Topology: Vector Bundles

2001
We continue with our study of the duality between spaces and algebras by considering modules over these algebras. As we shall shortly see, C*- algebras have a supply of C*-modules on which they naturally act. In view of the Gelfand-Naimark theorem, one should ask whether a compact space M has topological partners corresponding to modules over C(M ...
José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa   +2 more
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Grothendieck Representations of Categories and Canonical Noncommutative Topologies

K-Theory, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ndirahisha, J., Van Oystaeyen, Freddy
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Index Theorems and Noncommutative Topology

2008
These lecture notes are mainly devoted to a K-theory proof of the Atiyah-Singer index theorem. Some applications of the K-theory to noncommutative topology are also given.
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NONCOMMUTATIVE GEOMETRY, QUANTIZATION AND TOPOLOGICAL ASPECTS OF A FERMION

International Journal of Modern Physics A, 2000
It is pointed out here that noncommutative geometry having the space–time manifold X=M4×Z2 leads to the quantization of a fermion when the discrete space–time is incorporated as an internal variable. The chiral description of fermions in this geometry necessitates the introduction of a disconnected gauge group for the external Abelian field ...
Ghosh, P., Bandyopadhyay, P.
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Topological Solutions of Noncommutative Stochastic Differential Equations

Stochastic Analysis and Applications, 2007
Abstract A general approach is introduced to studying the properties of solutions of an arbitrary noncommutative stochastic differential equation (NSDE) in several interesting locally convex operator topologies, grouped into two main sets comprising the strong/λ⋆-topologies and the weak topologies.
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Petrov Noncommutative Topological Quantum Field Theory

2014
This paper gives a definition of category NC-Einst of noncommutative Einstein spaces, and a Petrov noncommutative topological quantum field theory (NC TQFT) is constructed. We suggest extensions of these ideas which may be useful to further NC TQFT and apply it in higher dimensions.
Moskaliuk, S.S., Wohlgenannt, M.
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Holistic computational design within additive manufacturing through topology optimization combined with multiphysics multi-scale materials and process modelling

Progress in Materials Science, 2023
Jesper Henri Hattel
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