Generalized non - commutative tori


The generalized non-commutative torus T k % of rank n is defined by the crossed product Am/k ×α3 Z×α4 . . .×αn Z, where the actions αi of Z on the fibre Mk(C) of a rational rotation algebra Am/k are trivial, and C ∗(kZ× kZ)×α3 Z×α4 . . .×αn Z is a non-commutative torus A%. It is shown that T k % is strongly Morita equivalent to A%, and that T k % ⊗Mp∞ is… (More)


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