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location University of Maryland
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visits member for 2 years, 7 months
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I am a PhD student at the University of Maryland working on tilings and their relationship to harmonic analysis and noncommutative geometry.


Sep
29
answered Projective modules over noncommutative tori?
Sep
26
comment Morita Equivalence of Full Corners in $C^*$-algebras
Thanks Alain - suppose I'm given a projection in $\mathcal{A}$ or in $M_n(\mathcal{A}).$ Based on this method, is it easy to construct a projection in $M_k(\mathcal{B})$ that it gets mapped to under this isomorphism?
Sep
26
asked Morita Equivalence of Full Corners in $C^*$-algebras
Sep
24
awarded  Autobiographer
Sep
2
awarded  Enlightened
Sep
2
awarded  Nice Answer
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)
deleted 1 character in body
Aug
4
revised K-theory for the $C^*-$algebra of the continuous functions on the $2-$torus and the Bott projection
added 1071 characters in body
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)
added 6 characters in body
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
added 10 characters in body
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?