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YCor
YCor
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Descent properties for Rational $TC$rational topological cyclic homology

Descent properties can be extremely useful for studying $\operatorname{TC}$ (topological cyclic homology), since it is a sheaf in many well behaved topologies.

I was wondering what is known about $\operatorname{TC}_\mathbb{Q}$ in this regard.

It seems clear to me that any site which has $\operatorname{TC}$ as a sheaf, and is also given in terms of a cd-structure will have $\operatorname{TC}_\mathbb{Q}$ as a sheaf, but I am particularly interested in the étale topology.

Descent properties for Rational $TC$

Descent properties can be extremely useful for studying $\operatorname{TC}$, since it is a sheaf in many well behaved topologies.

I was wondering what is known about $\operatorname{TC}_\mathbb{Q}$ in this regard.

It seems clear to me that any site which has $\operatorname{TC}$ as a sheaf, and is also given in terms of a cd-structure will have $\operatorname{TC}_\mathbb{Q}$ as a sheaf, but I am particularly interested in the étale topology.

Descent properties for rational topological cyclic homology

Descent properties can be extremely useful for studying $\operatorname{TC}$ (topological cyclic homology), since it is a sheaf in many well behaved topologies.

I was wondering what is known about $\operatorname{TC}_\mathbb{Q}$ in this regard.

It seems clear to me that any site which has $\operatorname{TC}$ as a sheaf, and is also given in terms of a cd-structure will have $\operatorname{TC}_\mathbb{Q}$ as a sheaf, but I am particularly interested in the étale topology.

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Noah Riggenbach
Noah Riggenbach
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Descent properties for Rational $TC$

Descent properties can be extremely useful for studying $\operatorname{TC}$, since it is a sheaf in many well behaved topologies.

I was wondering what is known about $\operatorname{TC}_\mathbb{Q}$ in this regard.

It seems clear to me that any site which has $\operatorname{TC}$ as a sheaf, and is also given in terms of a cd-structure will have $\operatorname{TC}_\mathbb{Q}$ as a sheaf, but I am particularly interested in the étale topology.