Non-Commutative Resistance Networks
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Non-Commutative Resistance Networks
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| Creator |
Rieffel, M.A.
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| Description |
In the setting of finite-dimensional C*-algebras A we define what we call a Riemannian metric for A, which when A is commutative is very closely related to a finite resistance network. We explore the relationship with Dirichlet forms and corresponding seminorms that are Markov and Leibniz, with corresponding matricial structure and metric on the state space. We also examine associated Laplace and Dirac operators, quotient energy seminorms, resistance distance, and the relationship with standard deviation.
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| Date |
2019-02-10T15:10:53Z
2019-02-10T15:10:53Z 2014 |
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| Type |
Article
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| Identifier |
Non-Commutative Resistance Networks / M.A. Rieffel // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 46 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 46L87; 46L57; 58B34 DOI:10.3842/SIGMA.2014.064 http://dspace.nbuv.gov.ua/handle/123456789/146653 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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