Classification of $C^*$ algebras whose subalgebra generated by projections is a von neumann algebra
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Inspired by this question we ask the following question:
Is there a complete classification of all unital $C^*$ algebra $A$ for which the following subalgebra $B$ is a von Neumann algebra? Is there a terminology for such kind of $C^*$ algebras?
$$B=text{The unital $C^*$ sub algebra generated by all projections of $A$} $$
Of course every von neumann algebra satisfies this property.
functional-analysis operator-algebras c-star-algebras von-neumann-algebras
asked 16 hours ago
Ali Taghavi
199329
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up vote
0
down vote
favorite
Inspired by this question we ask the following question:
Is there a complete classification of all unital $C^*$ algebra $A$ for which the following subalgebra $B$ is a von Neumann algebra? Is there a terminology for such kind of $C^*$ algebras?
$$B=text{The unital $C^*$ sub algebra generated by all projections of $A$} $$
Of course every von neumann algebra satisfies this property.
functional-analysis operator-algebras c-star-algebras von-neumann-algebras
asked 16 hours ago
Ali Taghavi
199329
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Inspired by this question we ask the following question:
Is there a complete classification of all unital $C^*$ algebra $A$ for which the following subalgebra $B$ is a von Neumann algebra? Is there a terminology for such kind of $C^*$ algebras?
$$B=text{The unital $C^*$ sub algebra generated by all projections of $A$} $$
Of course every von neumann algebra satisfies this property.
functional-analysis operator-algebras c-star-algebras von-neumann-algebras
asked 16 hours ago
Ali Taghavi
199329
Inspired by this question we ask the following question:
Is there a complete classification of all unital $C^*$ algebra $A$ for which the following subalgebra $B$ is a von Neumann algebra? Is there a terminology for such kind of $C^*$ algebras?
$$B=text{The unital $C^*$ sub algebra generated by all projections of $A$} $$
Of course every von neumann algebra satisfies this property.
functional-analysis operator-algebras c-star-algebras von-neumann-algebras
functional-analysis operator-algebras c-star-algebras von-neumann-algebras
asked 16 hours ago
Ali Taghavi
199329
asked 16 hours ago
Ali Taghavi
199329
edited 14 hours ago
asked 16 hours ago
Ali Taghavi
199329
asked 16 hours ago
Ali Taghavi
199329
asked 16 hours ago
Ali Taghavi
199329
199329
add a comment |
add a comment |
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