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InfiniteLooper
  • Member for 8 years, 10 months
  • Last seen more than 1 year ago
  • Rio de Janeiro
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For what kind of $C^*$ algebras does the inequality $\frac{(ab+ba)}{2}\leq\frac{ a^p}{p} +\frac{b^q }{q}$ hold for $a,b>0$?
Are there other integers $p, q$ with $\frac{1}{p} + \frac{1}{q} = 1$ except $p = q = 2$ ?
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Construct a non-unital nuclear $C^*$-algebra without tracial states such that its multiplier algebra is also traceless
You can try twisted tensors also like ergodic group actions on measured space for example.
awarded
 Yearling
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"Somewhat connected" spaces or algebras
However $\mathbb N$ is not SC
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"Somewhat connected" spaces or algebras
$[0,1]$ is a compactification of your set, isnt it ?
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When is the periodisation of a function continuous?
What would be the periodisation of a function equal for great $x$ to $\frac{1}{x}$ ?
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Open subset of compact-open topology
For $X = \mathbb R$, the constant function equal to 1 is in your set but its hard to believe that there is a neighborhood around it of functions bounded by $1$.
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Open subset of compact-open topology
Do you mean $\exists g \in C(X, E), f = F \circ g$ ?
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The inner product of a Clifford Algebra
Have you tried to figure out what is the signature of the bilinear from on $Cl(p,q)$ ?
awarded
 Yearling
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Subgroups of compact Lie groups generated by a subset of nodes of the Dynkin diagram
sorry it wasnt clear in your question what you were asking for, will delete my answer as it not one.
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Subgroups of compact Lie groups generated by a subset of nodes of the Dynkin diagram
I don't think you need reference, if you speak of roots and Cartan algebras, your audience should be able to follow your arguments, or at least to believe it.
answered
Subgroups of compact Lie groups generated by a subset of nodes of the Dynkin diagram
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Flatness equivalence
Write $D_H(\phi)$ as $D_H \circ \phi - \phi \circ D_H$ and you're done as $D_H$ is anti-Hermitian and $\phi$ is Hermitian.
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Flatness equivalence
$F_D = F_H + D_H(\phi) + \phi \wedge \phi$. You can conclude by taking on the right hand side the hermitian part and the anti-hermitian part.
answered
Extension of trace on von Neumann subalgebra
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De Rham cohomology of Lie groupoid
What is DeRham Cohomology of a Lie groupoid ? Do you mean groupoid cohomology defined the same way as group cohomology but restricting to composable chains ?
suggested
Reject
Producing $K$-homology cycles from $KK$-cycles
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Regarding essential spectrum of the unilateral shift operator
What is left (right) spectrum ? Spectrum as the left (right) multiplication operator on the space of bounded operators ?
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Lie algebras with unique invariant scalar product
Using this approach you show that the dimension of such bilinear form is greater than the length of maximal chains of composition in the Lie algebra. Can you show the equality ?
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