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Ph.D Thesis | |

Ph.D Student | Aviv Censor |
---|---|

Subject | Taking Groupoid C*-Algebras to the Limit |

Department | Department of Mathematics |

Supervisors | Full Professors Aljadeff Eli |

Full Professors Solel Baruch | |

Full Thesis text |

Let *T *be a compact
Hausdorff space. In 1985, Raeburn and Taylor introduced a family of continuous
trace *C**-algebras with the property that any Dixmier-Douady class in *H ^{3}*(

Let *W*^{(0)}*,W*^{(1)}*,W*^{(2)}*,*…
be a sequence of open covers of *T *, where *W*^{(0)} = *U *and
each *W*^{(i)} is a refinement (of a particular sort) of *W*^{(i+1)}.
Denote by *G _{n} *the groupoid corresponding to the cover

In our main result we construct
for every *n* an isometric ***-homomorphism from *C**(* G _{n}*,s

This research was in part joint work with Daniel Markiewicz.