Maximal nests in the Calkin algebra

Hadwin, Don

doi:10.1090/S0002-9939-98-04233-6

Maximal nests in the Calkin algebra
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by Don Hadwin

Proc. Amer. Math. Soc. 126 (1998), 1109-1113

DOI: https://doi.org/10.1090/S0002-9939-98-04233-6

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Abstract:

We prove that if two countable commutative lattices of projections in the Calkin algebra are order isomorphic, then they are unitarily equivalent. We show that there are isomorphic maximal nests of projections in the Calkin algebra that are order isomorphic but not similar. Assuming the continuum hypothesis, we show that all maximal nests of projections in the Calkin algebra are order isomorphic.

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