bio | website | |
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location | University of Maryland | |
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visits | member for | 2 years, 4 months |
seen | Aug 14 at 22:01 | |
stats | profile views | 279 |
I am a PhD student at the University of Maryland working on tilings and their relationship to harmonic analysis and noncommutative geometry.
Aug 6 |
revised |
Generators of the $ K_{0} $-group of the non-commutative torus $ A_{\theta} $ with $ \theta \in \mathbb{Q} $ (i.e. rational rotation algebra)
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Aug 4 |
revised |
K-theory for the $C^*-$algebra of the continuous functions on the $2-$torus and the Bott projection
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Aug 4 |
answered | K-theory for the $C^*-$algebra of the continuous functions on the $2-$torus and the Bott projection |
Aug 4 |
revised |
Generators of the $ K_{0} $-group of the non-commutative torus $ A_{\theta} $ with $ \theta \in \mathbb{Q} $ (i.e. rational rotation algebra)
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Aug 4 |
comment |
Generators of the $ K_{0} $-group of the non-commutative torus $ A_{\theta} $ with $ \theta \in \mathbb{Q} $ (i.e. rational rotation algebra)
Look at Theorem 3.6 in Luef's paper. This gives an explicit construction of such projections, which is explicit in the sense that it gives a power series type expansion in terms of products of the generators of the rotation algebra. This is somewhat different than the presentation of Rieffel's original projection, which used functional calculus. |
Aug 4 |
comment |
Generators of the $ K_{0} $-group of the non-commutative torus $ A_{\theta} $ with $ \theta \in \mathbb{Q} $ (i.e. rational rotation algebra)
In general, given a finitely generated projective module with a standard module frame, there is a procedure for constructing the associated projection. Luef's paper above essentially gives what you're asking for, although it is phrased partially in frame theoretic language since this is the easiest way to describe standard module frames for these modules. |
Aug 4 |
answered | Generators of the $ K_{0} $-group of the non-commutative torus $ A_{\theta} $ with $ \theta \in \mathbb{Q} $ (i.e. rational rotation algebra) |
Jul 2 |
awarded | Curious |
Jun 10 |
awarded | Yearling |
Jun 10 |
accepted | C* algebras of Almost Periodic Functions |
Jun 10 |
answered | C* algebras of Almost Periodic Functions |
Jun 6 |
revised |
C* algebras of Almost Periodic Functions
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Jun 6 |
asked | C* algebras of Almost Periodic Functions |
Jun 3 |
accepted | Is any finite collection of points contained in a cut and project set with $\mathbb{R}^d$ as internal space? |
Jun 3 |
comment |
Is any finite collection of points contained in a cut and project set with $\mathbb{R}^d$ as internal space?
Thanks for the idea! That's what I was looking for. Hopefully I can prove that lemma. |
May 20 |
comment |
Is any finite collection of points contained in a cut and project set with $\mathbb{R}^d$ as internal space?
Thanks for the response, however I was trying to get at something slightly different than your answer. I wanted specifically that the internal space was R^n and not a different LCAG. I'm not concerned with uniqueness, but simply with whether we can realize any finite set as a subset of a model set where the internal space is R^n. I think this is possible, but I haven't seen a proof anywhere. |
Jan 14 |
revised |
Is any finite collection of points contained in a cut and project set with $\mathbb{R}^d$ as internal space?
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Jan 14 |
asked | Is any finite collection of points contained in a cut and project set with $\mathbb{R}^d$ as internal space? |
Dec 20 |
comment |
When is a collection of exponentials dense in $L^2(K), |K|<\infty$
This book seems concentrated on the $d=1$ case. Has a similar analysis been done in higher dimensions? |
Dec 20 |
awarded | Critic |