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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 307, Pages 175–188 (Mi znsl844)  
Explicit equivalence bimodules for rotation algebras

H. Narnhofer

Faculty of Physics
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Abstract: $C^*$-algebras associated with irrational rotations are Morita equivalent iff the rotation parameters belong to the same orbit under the action of $GL(2,Z)$. In this note we offer explicit type II representations such that the bimodule is dense in the corresponding Hilbert space.
Received: 09.03.2004
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 131, Issue 2, Pages 5538–5546
DOI: https://doi.org/10.1007/s10958-005-0425-3
Bibliographic databases:
UDC: 517.986
Language: English
Citation: H. Narnhofer, “Explicit equivalence bimodules for rotation algebras”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part X, Zap. Nauchn. Sem. POMI, 307, POMI, St. Petersburg, 2004, 175–188; J. Math. Sci. (N. Y.), 131:2 (2005), 5538–5546
Citation in format AMSBIB
\Bibitem{Nar04}
\by H.~Narnhofer
\paper Explicit equivalence bimodules for rotation algebras
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 307
\pages 175--188
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl844}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2050692}
\zmath{https://zbmath.org/?q=an:1093.46031}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 131
\issue 2
\pages 5538--5546
\crossref{https://doi.org/10.1007/s10958-005-0425-3}
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