A non-liminal (CCR)

A non-liminal (CCR) A non-liminal (CCR) C^*-algebra.

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Let H be an infinite dimensional Hilbert space. Then faithful irreducible representation

B(H)

Ž

B(H) (B(H)˘ = C1)
T

\longmapsto

T

together with B(H) š K(H), shows that B(H) isn't liminal.

Comment. Another example may be found in CW22.

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On 22 Feb 2001, 00:19.