Nonseparable UHF algebras II: Classification

Ilijas Farah; Takeshi Katsura

doi:10.7146/math.scand.a-22238

Nonseparable UHF algebras II: Classification

Ilijas Farah, Takeshi Katsura

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

For every uncountable cardinal κ there are 2^κ nonisomorphic simple AF algebras of density character κ and 2^κnonisomorphic hyperfinite II1 factors of density character κ. These estimates are maximal possible. All C∗-algebras that we construct have the same Elliott invariant and Cuntz semigroup as the CAR algebra.

Original language	English
Pages (from-to)	105-125
Number of pages	21
Journal	Mathematica Scandinavica
Volume	117
Issue number	1
DOIs	https://doi.org/10.7146/math.scand.a-22238
Publication status	Published - 2015

ASJC Scopus subject areas

General Mathematics

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Nonseparable UHF algebras II: Classification

Abstract

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