Morita equivalent subalgebras of irrational rotation algebras and real quadratic fields

Details Morita equivalent subalgebras of irrational rotation algebras and real quadratic fields Morita equivalent subalgebras of irrational rotation algebras and real quadratic fields

2008-02-20

arxiv.org/abs/0802.2751v2

Mathematics

Operator Algebras

14pages, shortened, simplified

Scientific paper

In this paper, we determine the isomorphic classes of Morita equivalent
subalgebras of irrational rotation algebras. It is based on the solution of the
quadratic Diophantine equations. We determine the irrational rotation algebras
that have locally trivial inclusions. We compute the index of the locally
trivial inclusions of irrational rotation algebras.

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