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Results tagged with c-star-algebras
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user 61785
A C*-algebra is a complex Banach algebra together with an isometric antilinear involution satisfying (a b)* = b* a* and the C*-identity ‖a* a‖ = ‖a‖². Related tags: [banach-algebras], [von-neumann-algebras], [operator-algebras], [spectral-theory].
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Examples of non-isomorphic $C^\ast$ algebras with isomorphic quasi-state spaces
For any C$^*$-algebra $A$, we can define its opposite algebra $A^{\mathrm{op}}$, which is the algebra where $ab$ is defined to be $ba$, as calculated in $A$. Let's restrict to unital algebras for simp …
- 3,768
1
vote
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Projections in CAR (Canonical Anticommutation Relation) algebra
As expressed in my comment, the finite-dimensional CAR algebras do have a complete projection lattice. Here I outline the proof that the CAR algebra with countably many degrees of freedom (equivalentl …
- 3,768