The Universal Property of Infinite Direct Sums in $\hbox {C}^*$-Categories and $\hbox {W}^*$-Categories

T. Fritz; B. Westerbaan

DOI:10.1007/s10485-019-09583-9

Corpus ID: 195874119

The Universal Property of Infinite Direct Sums in $\hbox {C}^$-Categories and $\hbox {W}^$-Categories

@article{Fritz2020TheUP,
  title={The Universal Property of Infinite Direct Sums in \$\hbox \{C\}^*\$-Categories and \$\hbox \{W\}^*\$-Categories},
  author={T. Fritz and B. Westerbaan},
  journal={Appl. Categorical Struct.},
  year={2020},
  volume={28},
  pages={355-365}
}

T. Fritz, B. Westerbaan

Published 2020

Mathematics, Computer Science

Appl. Categorical Struct.

When formulating universal properties for objects in a dagger category, one usually expects a universal property to characterize the universal object up to unique unitary isomorphism. We observe that this is automatically the case in the important special case of $\hbox {C}^*$-categories, provided that one uses enrichment in Banach spaces. We then formulate such a universal property for infinite direct sums in $\hbox {C}^*$-categories, and prove the equivalence with the existing definition… CONTINUE READING

View PDF on arXiv