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Mar 21, 2023 at 13:10 comment added Peter Scholze The completed tensor product is isomorphic to continuous functions from $\widehat{\mathbb Z}$ to $\breve{\mathbb Q}_p$.
Mar 20, 2023 at 20:40 comment added bsbb4 @PeterScholze Thank you for the intuition! How does the situation change when we consider the completed tensor product instead?
Mar 20, 2023 at 14:18 history edited LSpice CC BY-SA 4.0
Put `\breve` where expected in title, as in the body
Mar 20, 2023 at 13:41 comment added Peter Scholze My gut feeling is that you don't actually want to consider this tensor product. I don't know what your motivation is, so it's hard to say, but if I would run into this tensor product, I'd try to see if I can either replace $\breve{\mathbb Q}_p$ by its uncompleted version, or the tensor product by its completion.
Mar 20, 2023 at 13:37 history edited YCor CC BY-SA 4.0
formatting, added tag
Mar 20, 2023 at 13:30 history asked bsbb4 CC BY-SA 4.0