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| Paper IPM / M / 15562 |
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| Abstract: | |
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We show that if A is a compact C*-algebra without identity that
has a faithful *-representation in the C*-algebra of all compact
operators on a separable Hilbert space and its multiplier algebra admits a minimal
central projection p such that pA is infinite-dimensional, then there
exists a Hilbert A1-module admitting no frames, where A1 is the
unitization of A. In particular, there exists a frame-less Hilbert
C*-module over the C*-algebra K(l2) \dotplus\mathbbCIl2.
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