J. Austral. Math. Soc.  73 (2002), 97-113
Categorical constructions in $C^*$-algebra theory

M. Khoshkam
  Department of Mathematics and Statistics
  University of Saskatchewan
  106 Wiggins Road
  Saskatoon
  Saskatchewan S7N 5E6
  Canada
  khoshkam@math.usask.ca
and
J. Tavakoli
  Science Department
  SIFC, Regina Campus
  Room 118
  Regina SK S4S 0A2
  Canada
  tavakoli@math.usask.ca


Abstract
The notions of limits and colimits are studied in the category of $C^*$-algebras. It is shown that limits and colimits of diagrams of $C^*$-algebras are stable under tensor product by a fixed $C^*$-algebra, and crossed product by a locally compact group.
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