# All Questions

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### Determining the primitive ideal space of C-star algebras

Is there a general way of finding a primitive ideal space of $C^*$-algebra? For example, if $C^*$-algebra is given by the universal $C^*$-algebra generated by two self-adjoint unitary elements, how ...
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### First collision time of $n$ random walkers on a cycle

My question is somehow related to the one here First Collision Time for k Random Walkers on a Torus but, unfortunately, the answer does not cover my concern. My problem is: consider $n$ walkers on ...
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### Explicit Galois Action for $X^3 - X -1$ [migrated]

I have always been frustrated with how indirect discussions of Galois Theory are in Algebra textbooks. Even in fine treatments such as Miles Reid. Are there any good examples where we can draw ...
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### Rank of finite solvable group [migrated]

I am very interested in the following question. Is there a finite solvable group G with the property that rank G - rank G_ab > n for n > 2? Here G_ab denotes the abelianization of G. For all the ...
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### Singular projective variety where the Cartan homomorphism is not an isomorphism?

Let $V$ be an projective variety. Let $\mathcal{O}_V$ be its usual structure sheaf of regular rational functions of degree zero. Let $\mathrm{Coh}\, V$ be the the category of coherent sheaves of ...
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### Is this theorem on $L$-functions known?

Notations For $f$ a meromorphic function on a domain $\Omega\subseteq \textbf{C}$, we shall say for convenience that $f$ is represented by an Ordinary Dirichlet Series (ODS) if $f$ can be written ...
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### Any material out there on *spatially* second-order cellular automata? [on hold]

My model of a problem I'm working on took me to needing a spatially second-order cellular automaton (ie, x[i][t+1] is determined by x[i][t], x[i-1][t], x[i-2][t], x[i+1][t], and x[i+2][t]) (also, this ...
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### Hodge numbers of non-commutative varieties

Let $(X, \mathcal{A})$ be a non-commutative variety, by this I mean $X$ is a (smooth) algebraic variety and $\mathcal{A}$ is a sheaf of algebra on $X$. One such example in my mind is when $X$ admits ...
Let $P(x)$ be a non-constant polynomial with real coefficients. Can natural density of $$\{n\ |\ \lfloor P(n)\rfloor \ \text{is prime.}\}$$ be positive?