On the crossed product C*-algebras from the dynamics on full and finite adele rings

Takuya Takeishi (Kyoto Institute of Technology)

Thursday 10th November, 2022 16:00-17:00 Maths 311B


For a given number field K, we associate a C*-algebra determined from the actions of K^* on its finite adele ring. For given two number fields K and L, we show that K is isomorphic to L if and only if the associated C*-algebras are isomorphic. Moreover, the same statement holds if we consider full adele rings instead of finite adele rings. This is a joint work with C. Bruce.

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