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Non-Commutativity and Many-Valuedness: The Topological Representation of the Spectrum of C*-Algebras
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för datavetenskap.
2017 (engelsk)Inngår i: 2017 IEEE International Conference On Fuzzy Systems (FUZZ-IEEE), IEEE, 2017Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

In the past there have been made various attempts to define the spectrum of a non-commutative C*-algebra. But all these definitions have certain drawbacks - e.g. C.J. Mulvey's definition does not coincide with the standard definition of the spectrum in the commutative case. The aim of this paper is to give an alternative definition of the spectrum which does not suffer under this deficit - i.e. coincides with the standard situation in the commutative setting. For this purpose we recall some properties of balanced and bisymmetric quantales, introduce a definition of the spectrum of a C*-algebra working for the general case and develop subsequently its topological representation.

sted, utgiver, år, opplag, sider
IEEE, 2017.
Serie
IEEE International Conference on Fuzzy Systems, ISSN 1098-7584
HSV kategori
Identifikatorer
URN: urn:nbn:se:umu:diva-146180DOI: 10.1109/FUZZ-IEEE.2017.8015377ISI: 000426449100003ISBN: 978-1-5090-6034-4 (digital)OAI: oai:DiVA.org:umu-146180DiVA, id: diva2:1206282
Konferanse
IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), JUL 09-12, 2017, Naples, ITALY
Tilgjengelig fra: 2018-05-16 Laget: 2018-05-16 Sist oppdatert: 2018-06-09bibliografisk kontrollert

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