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International Conference on Algebra, Analysis and Geometry - 2021
August 26, 2021 18:25–18:40, Functional Analysis and Quantum Information Theory, Kazan, Kazan Federal University
 


The bundle over dynamical system $(X,\varphi)$ and associated $C^*$-algebra

S. A. Grigoryana, A. Yu. Kuznetsovab

a Kazan State Power Engineering University
b Institute of Physics, Kazan (Volga region) Federal University
Video records:
MP4 73.4 Mb
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Adobe PDF 264.8 Kb

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Abstract: The pair $(X,\varphi)$, which consists of the countable set $X$ and the preset self-mapping $\varphi$, can be regarded as a dynamical system. Here we consider the dynamical systems with a bounded in common cardinality of preimage. In this case the system $(X,\varphi)$ generates the $C^*$-algebra $C^*\varphi(X)$. We introduce the notions of covering and bundle of the system and consider the extension of $C^*\varphi(X)$ in the terms of bundle over $(X,\varphi)$.

Keywords: $C^*$-algebra, dynamic system, covering, bundle.

Materials: abstract.pdf (264.8 Kb)

Website: https://zoom.us/j/91819779435?pwd=K1llRzUyV1VCclMzQjRtUEFpMzhYQT09

* Zoom conference ID: 918 1977 9435 , password: 633421

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