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Mathoverflow.net news digest

  • 0 days

    question about the widely used method for proving coarse Baum-Connes conjecture ...

    The coarse Baum-Connes conjecture can be expressed in many ways. I choose the following, it states that$$e_{*}:\lim_{d\rightarrow\infty}K_{*}(C^{*}_{L}(P_{d}(X)))\rightarrow\lim_{d\rightarrow\infty}K_{*}(C^{*}(P_{d}(X)))$$induced by the evaluation map...

  • 0 days

    Hasse derivative and Laurent Denis Lemma

    In the article "Indépendance algébriques de logarithmes en caractéristique $p$" (BULL. AUSTRAL. MATH. SOC. VOL. 74 (2006) [461-470]), Laurent Denis stated the following Lemma 2.4 (I give the translation of the lemma and the proof)
    I think that his argument of derivative is true too when one replaces the usual derivative by Hasse derivative of any order $\ge1$ with respect to the $X_i$ ($1\le i\le j$). If I am not wrong, this would allow to assert immediately that $Q(X_0,X_1,\cdots...

  • 0 days

    Criterion of monogenic semigroup?

    Let $p$ be a prime number.
    Let $D$ be a finite semigroup such that $p$ divides the cardinality of $D$. Suppose that the intersection of all its non-empty subsemigroups is non-empty, and that every proper monogenic subsemigroup has a cardinality $c$ such that $c \equiv 1 \pmod...

  • 9 months

    Sufficient condition for a density matrix to be positive definite

    Note: since I have completely changed the content of my post compared to my deleted post with the same title, I figured it would make more sense to create another post (i.e. this post).
    Let's say you have a multipartite quantum system consisting of $n$ qubits. Partition the qubits into 2 sets, say $A$ and $B$, so that $A$ consists of the first $n - 1$ qubits and $B$ is the $n$-th qubit....

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