Journal article
Categorical formulation of finite-dimensional C*-algebras
- Abstract:
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We develop the concept of an involution monoid, and use it to show that finite-dimensional C*-algebras are the same as special unitary †-Frobenius monoids in the category of finite-dimensional complex Hilbert spaces. This gives a new, geometrical definition of finite-dimensional C*-algebras, contrasting with the conventional algebraic one.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 320.0KB, Terms of use)
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- Publisher copy:
- 10.1016/j.entcs.2011.01.012
Authors
- Journal:
- Electronic Notes in Theoretical Computer Science More from this journal
- Volume:
- 270
- Issue:
- 1
- Pages:
- 129–145
- Publication date:
- 2011-02-04
- Edition:
- Publisher's version
- DOI:
- ISSN:
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1571-0661
- Language:
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English
- Keywords:
- Subjects:
- UUID:
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uuid:86bd8b51-f56e-481c-aaa1-bac8c7b8785b
- Local pid:
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ora:9836
- Deposit date:
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2015-01-29
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2011
- Notes:
- © 2011 Published by Elsevier B.V. Under a Creative Commons license.
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