Date | 2024-10-18 |
---|---|

Speaker | Kan Kitamura |

Dept. | iTHEMS |

Room | 129-301 |

Time | 10:00-12:00 |

In subfactor theory initiated by Jones, it turned out that operator algebras often admit kinds of symmetries beyond groups. Such phenomena are often called quantum symmetries. The language of tensor categories provides a way to describe quantum symmetries. On 16th, we will explain this notion and illustrate examples.

On 18th, we present a systematic strategy for constructing outer actions of tensor categories on purely infinite C*-algebras. Roughly spoken, an action of a tensor category on a C*-algebra is how to realize the tensor category, which is abstract, using bimodules over the C*-algebra in a concrete way. We will provide several examples, including those related to compact quantum groups.

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