Results 121 to 130 of about 197 (138)

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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Grothendieck Representations of Categories and Canonical Noncommutative Topologies

K-Theory, 2002
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Ndirahisha, J., Van Oystaeyen, F.
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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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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 ...
Figueroa Hector, Varilly Joseph C, Gracia-Bondía JOSÉ M   +2 more
exaly   +2 more sources

Noncommutative Geometry and Topology at the Lomonosov Moscow State University

Moscow University Mathematics Bulletin
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Andronick Arutyunov, Savin A Yu, Arutyunov A A   +2 more
exaly   +2 more sources

Sketches of Noncommutative Topology

2022
This thesis thematically divided into two parts. In the first part we are mastering C*-isomorphism problem by using various techniques applied to different examples of noncommutative algebraic varieties. In the second part we apply noncommutative homotopy theory to C*-algebraic objects related to manifold theory, in such a way deriving results and ...
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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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On the Topological Stable Rank of a Noncommutative Version of the Disc Algebra

Complex Analysis and Operator Theory, 2015
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Ji, You Qing, Liu, Zhi, Zhang, Yuan Hang
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Noncommutative Geometry

2022
Igor V Nikolaev
exaly  

Noncommutative topology and Jordan operator algebras

Mathematische Nachrichten, 2019
David Blecher
exaly