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Remarks on quantic nuclei

Published online by Cambridge University Press:  24 October 2008

Shu-Hao Sun
Shu-Hao Sun
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, N.S. W. 2006, Australia
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Extract

Quantales were first introduced by Mulvey[3] in order to provide a possible setting for constructive foundations for quantum mechanics, as well as a non-commutative analogue of the maximal spectrum of a C*-algebra. Quantales have since been studied by several authors: see [1, 3, 4, 5].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 257 - 260
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

REFERENCES

[1]Borceux, F. and Van den Bossche, G.. An essay on non-commutative topology. Topology Appl. 31 (1989), 203–223.Google Scholar
[2]Johnstone, P. T.. Stone Spaces. Cambridge Studies in Advanced Math. no. 3 (Cambridge University Press, 1982).Google Scholar
[3]Mulvey, C. J.. &. Rend. Circ. Mat. Palermo 12 (1986), 99–104.Google Scholar
[4]Nawaz, M.. Quantales: quantal sets. Ph.D. thesis, University of Sussex (1985).Google Scholar
[5]Niefield, S. B. and Rosenthal, K. I.. Constructing locales from quantales. Math. Proc. Cambridge Philos. Soc. 104 (1988), 215–234.Google Scholar