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 Yearling
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2d
accepted Non-(stable)-triviality of the tautological bundles
Feb
15
awarded  Yearling
Feb
2
comment Range of the Dirac operator on the real line closed?
Thanks. I can now figure it out on my own.
Feb
2
accepted Range of the Dirac operator on the real line closed?
Feb
2
answered $T: H^{-\infty}(R^n) \to H^\infty(R^n)$ continuous iff $T: H^{-r}(R^n) \to H^s(R^n)$ bounded for all $r,s>0$?
Jan
5
accepted Existence of a partition of unity with uniformly bounded derivatives
Dec
8
awarded  Caucus
Dec
6
accepted Cap product between K-Theory and K-Homology
Dec
5
comment Cap product between K-Theory and K-Homology
@QiaochuYuan: Oh, yes, you are right ... $aT$ is an element of $\mathfrak{D}(A)$ in general only if $A$ is commutative. I completely forgot to check this, because I was somehow fixed only on checking if the map is a $^\ast$-homomorphism. Thank you! You can post it as an answer so that I can accept it.
Dec
5
comment Cap product between K-Theory and K-Homology
@NajibIdrissi: why did you delete the $K$-homology tag?
Dec
5
comment Cap product between K-Theory and K-Homology
Given a representation $\rho\colon A \to \mathbb{B}(H)$ of the $C^\ast$-algebra $A$ on a separable Hilbert space $H$, one defines the dual algebra $\mathfrak{D}(A)$ of $A$ as $\mathfrak{D}(A) := \{ T \in \mathbb{B}(H) \colon [T,\rho(a)] \in \mathfrak{K} \text{ for all }a \in A\}$. Here $\mathfrak{K}$ are the compact operators. The $K$-homology of $A$ is then defined as $K^p(A) := K_{1-p}(\mathfrak{D}(A^+))$, where $A^+$ is the unitization of $A$ and we use an ample representation to form the dual algebra.
Oct
22
awarded  Popular Question
Jul
2
awarded  Curious
Jun
12
answered K-theory computation for algebra of bounded continuous functions on $[0,\infty)$
Jun
12
answered Roe algebra of a countably infinite set of points
Apr
28
accepted Does completing a normed space commute with taking quotients?
Apr
27
comment Does completing a normed space commute with taking quotients?
Thanks! One remaining question: why is the map $\overline{X / Y} \to \overline{X} / \overline{Y}$ surjective?
Apr
27
asked Does completing a normed space commute with taking quotients?
Apr
24
awarded  Citizen Patrol
Apr
12
awarded  Custodian