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On masas of the Calkin algebra generated by projections

math.OA · 2025-12-06 · unverdicted · novelty 8.0

Assuming CH, projection-generated masas in the Calkin algebra are completely classified up to *-isomorphism, realizing C(K) for any qualifying compact totally disconnected K of weight at most the continuum without Gδ points, plus a ZFC family of 2^ℝ many pairwise non-isomorphic examples.

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  • On masas of the Calkin algebra generated by projections math.OA · 2025-12-06 · unverdicted · none · ref 23

    Assuming CH, projection-generated masas in the Calkin algebra are completely classified up to *-isomorphism, realizing C(K) for any qualifying compact totally disconnected K of weight at most the continuum without Gδ points, plus a ZFC family of 2^ℝ many pairwise non-isomorphic examples.