Behaviour of Maximal tenor product with inductive limits Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Applications of Elliott's theorem concerning the classification of AF-algebrasThe proof of (continuity of tensor product maps) theoremExact sequence of tensor productQuestions about stable rank of inductive limit of $C^ast$-algebrasinductive limit of nuclear c*algebras is nuclearOrthogonal $*$-homomorphisms satisfy $(phi+psi)_*=phi_*+psi_*$?Uniqueness unitization of a non unital $C^*$-algebraInductive limits of $C^*$-algebras$B$ stably finite simple $C^*$-algebra $Rightarrow$ $Botimes mathcalK$ contains no infinite projectionsSpectral theorem for inductive limits of $C^*$-Algebras
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Behaviour of Maximal tenor product with inductive limits
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Applications of Elliott's theorem concerning the classification of AF-algebrasThe proof of (continuity of tensor product maps) theoremExact sequence of tensor productQuestions about stable rank of inductive limit of $C^ast$-algebrasinductive limit of nuclear c*algebras is nuclearOrthogonal $*$-homomorphisms satisfy $(phi+psi)_*=phi_*+psi_*$?Uniqueness unitization of a non unital $C^*$-algebraInductive limits of $C^*$-algebras$B$ stably finite simple $C^*$-algebra $Rightarrow$ $Botimes mathcalK$ contains no infinite projectionsSpectral theorem for inductive limits of $C^*$-Algebras
$begingroup$
I am trying to prove the following result:
Let $(A_i)_iin I$ be an inductive system of non unital $C^ast$-algebras with connecting homomorphisms $f_ij: A_i to A_j$ and let's denote the limit by $A$. If $B$ is another non unital $C^ast$-algebra, we would like to show that the inductive limit of $(A_iotimes_rmmax B)_iin I$ is isomorphic to $Aotimes_rmmax B$
I know the proof of this in case of unital $C^ast$-algebras but i cant see the proof for non unital case. Any ideas?
functional-analysis operator-theory c-star-algebras
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
$endgroup$
add a comment |
$begingroup$
I am trying to prove the following result:
Let $(A_i)_iin I$ be an inductive system of non unital $C^ast$-algebras with connecting homomorphisms $f_ij: A_i to A_j$ and let's denote the limit by $A$. If $B$ is another non unital $C^ast$-algebra, we would like to show that the inductive limit of $(A_iotimes_rmmax B)_iin I$ is isomorphic to $Aotimes_rmmax B$
I know the proof of this in case of unital $C^ast$-algebras but i cant see the proof for non unital case. Any ideas?
functional-analysis operator-theory c-star-algebras
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
$endgroup$
$begingroup$
what a coincidence, I am a tenor, too!
$endgroup$
– Alvin Lepik
Apr 1 at 8:37
$begingroup$
@AlvinLepik : Cheers!
$endgroup$
– Math Lover
Apr 1 at 8:52
add a comment |
$begingroup$
I am trying to prove the following result:
Let $(A_i)_iin I$ be an inductive system of non unital $C^ast$-algebras with connecting homomorphisms $f_ij: A_i to A_j$ and let's denote the limit by $A$. If $B$ is another non unital $C^ast$-algebra, we would like to show that the inductive limit of $(A_iotimes_rmmax B)_iin I$ is isomorphic to $Aotimes_rmmax B$
I know the proof of this in case of unital $C^ast$-algebras but i cant see the proof for non unital case. Any ideas?
functional-analysis operator-theory c-star-algebras
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
$endgroup$
I am trying to prove the following result:
Let $(A_i)_iin I$ be an inductive system of non unital $C^ast$-algebras with connecting homomorphisms $f_ij: A_i to A_j$ and let's denote the limit by $A$. If $B$ is another non unital $C^ast$-algebra, we would like to show that the inductive limit of $(A_iotimes_rmmax B)_iin I$ is isomorphic to $Aotimes_rmmax B$
I know the proof of this in case of unital $C^ast$-algebras but i cant see the proof for non unital case. Any ideas?
functional-analysis operator-theory c-star-algebras
functional-analysis operator-theory c-star-algebras
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
asked Apr 1 at 8:36
Math LoverMath Lover
1,044315
1,044315
$begingroup$
what a coincidence, I am a tenor, too!
$endgroup$
– Alvin Lepik
Apr 1 at 8:37
$begingroup$
@AlvinLepik : Cheers!
$endgroup$
– Math Lover
Apr 1 at 8:52
add a comment |
$begingroup$
what a coincidence, I am a tenor, too!
$endgroup$
– Alvin Lepik
Apr 1 at 8:37
$begingroup$
@AlvinLepik : Cheers!
$endgroup$
– Math Lover
Apr 1 at 8:52
$begingroup$
what a coincidence, I am a tenor, too!
$endgroup$
– Alvin Lepik
Apr 1 at 8:37
$begingroup$
what a coincidence, I am a tenor, too!
$endgroup$
– Alvin Lepik
Apr 1 at 8:37
$begingroup$
@AlvinLepik : Cheers!
$endgroup$
– Math Lover
Apr 1 at 8:52
$begingroup$
@AlvinLepik : Cheers!
$endgroup$
– Math Lover
Apr 1 at 8:52
add a comment |
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$begingroup$
what a coincidence, I am a tenor, too!
$endgroup$
– Alvin Lepik
Apr 1 at 8:37
$begingroup$
@AlvinLepik : Cheers!
$endgroup$
– Math Lover
Apr 1 at 8:52