Rocky Mountain Journal of Mathematics

A classification of some noncommutative Tori

B. BRENKEN

Article information

Source
Rocky Mountain J. Math. Volume 20, Number 2 (1990), 389-397.

Dates
First available in Project Euclid: 5 June 2007

Permanent link to this document
http://projecteuclid.org/euclid.rmjm/1181073114

Digital Object Identifier
doi:10.1216/rmjm/1181073114

Mathematical Reviews number (MathSciNet)
MR1065837

Zentralblatt MATH identifier
0727.46050

Citation

BRENKEN, B. A classification of some noncommutative Tori. Rocky Mountain J. Math. 20 (1990), no. 2, 389--397. doi:10.1216/rmjm/1181073114. http://projecteuclid.org/euclid.rmjm/1181073114.

References

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• J. Cuntz, G.A. Elliot, F.M. Goodman and P.E.T. Jorgensen, On the classification of noncommutative tori, II, C.R. Math. Rep. Acad. Sci. Canada 7 (1985), 189-194.
• S. Disney, G.A. Elliott, A. Kumjian and I. Raeburn, On the classification of noncommutative tori, C.R. Math. Rep. Acad. Sci. Canada 7 (1985), 137-141.
• G.A. Elliot, On the $K$-theory of the $C^*$-algebra generated by a projective representation of a torsion-free discrete abelian group, Operator algebras and group representations, Pitman, London, 1984, 157-184.
• M. Newman, Integral Matrices, Academic Press, New York, 1972.
• M. Pimsner and D. Voiculescu, Exact sequences for $K$-groups and Ext-groups of certain crossed product $C^*$-algebras, J. Operator Theory 4 (1980), 93-118.
• M.A. Rieffel, $C^*$-algebras associated with irrational rotations, Pacific J. Math, 93 (1981), 415-29.
• H. Yin, Classification of $C^*$-crossed products associated with characters on free groups, C.R. Math. Rep. Acad. Sci. Canada, Vol. IX, No 1. (1987).