An example of Hilbert C$^*$-module $M_A$ in which $A=Mat_{ntimes n}(mathbb{C} )$ and $M$ is not countably...
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I want to find an example of a Hilbert C$^*$-module $M_A$ in which $A=Mat_{ntimes n}(mathbb{C} )$ and $M$ is not countably generated?
I know $left( ell_2(A)right)_A $ is countable generated and my efforts about finding one were futile.
c-star-algebras
asked Nov 16 at 18:01
Dadrahm
3278
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up vote
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I want to find an example of a Hilbert C$^*$-module $M_A$ in which $A=Mat_{ntimes n}(mathbb{C} )$ and $M$ is not countably generated?
I know $left( ell_2(A)right)_A $ is countable generated and my efforts about finding one were futile.
c-star-algebras
asked Nov 16 at 18:01
Dadrahm
3278
What about an uncountable direct sum of Hilbert modules?
– Aweygan
Nov 16 at 19:17
That's a very good idea. I test it.
– Dadrahm
Nov 17 at 3:05
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I want to find an example of a Hilbert C$^*$-module $M_A$ in which $A=Mat_{ntimes n}(mathbb{C} )$ and $M$ is not countably generated?
I know $left( ell_2(A)right)_A $ is countable generated and my efforts about finding one were futile.
c-star-algebras
asked Nov 16 at 18:01
Dadrahm
3278
I want to find an example of a Hilbert C$^*$-module $M_A$ in which $A=Mat_{ntimes n}(mathbb{C} )$ and $M$ is not countably generated?
I know $left( ell_2(A)right)_A $ is countable generated and my efforts about finding one were futile.
c-star-algebras
c-star-algebras
asked Nov 16 at 18:01
Dadrahm
3278
asked Nov 16 at 18:01
Dadrahm
3278
asked Nov 16 at 18:01
Dadrahm
3278
asked Nov 16 at 18:01
Dadrahm
3278
asked Nov 16 at 18:01
Dadrahm
3278
3278
What about an uncountable direct sum of Hilbert modules?
– Aweygan
Nov 16 at 19:17
That's a very good idea. I test it.
– Dadrahm
Nov 17 at 3:05
add a comment |
What about an uncountable direct sum of Hilbert modules?
– Aweygan
Nov 16 at 19:17
That's a very good idea. I test it.
– Dadrahm
Nov 17 at 3:05
What about an uncountable direct sum of Hilbert modules?
– Aweygan
Nov 16 at 19:17
What about an uncountable direct sum of Hilbert modules?
– Aweygan
Nov 16 at 19:17
That's a very good idea. I test it.
– Dadrahm
Nov 17 at 3:05
That's a very good idea. I test it.
– Dadrahm
Nov 17 at 3:05
add a comment |
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What about an uncountable direct sum of Hilbert modules?
– Aweygan
Nov 16 at 19:17
That's a very good idea. I test it.
– Dadrahm
Nov 17 at 3:05