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Morita Equivalence of C^*-Crossed Products by Inverse Semigroup Actions and Partial Actions

201   0   0.0 ( 0 )
 Added by Nandor Sieben
 Publication date 2010
  fields
and research's language is English
 Authors Nandor Sieben




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Morita equivalence of twisted inverse semigroup actions and discrete twisted partial actions are introduced. Morita equivalent actions have Morita equivalent crossed products.



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A partial action is associated with a normal weakly left resolving labelled space such that the crossed product and labelled space $C^*$-algebras are isomorphic. An improved characterization of simplicity for labelled space $C^*$-algebras is given and applied to $C^*$-algebras of subshifts.
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