×
Bruce, Chris; Starling, Charles

Corrigendum to: “A new uniqueness theorem for the tight C\(^*\)-algebra of an inverse semigroup”. (English. French summary) Zbl 07909466

C. R. Math. Acad. Sci., Soc. R. Can. 46, No. 1, 11-15 (2024).
Summary: We correct the proof of Theorem 4.1 from the second author’s paper [ibid. 44, No. 4, 88–112 (2022; Zbl 07908847)].

MSC:

46L05 General theory of \(C^*\)-algebras
20M18 Inverse semigroups
18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories)

Keywords:

C\(^*\)-algebra; LCM semigroup; groupoid; inverse semigroup; subshift; tight representation; uniqueness

Citations:

Zbl 07908847
Cite Review PDF
Full Text: Link

References:

[1] R. Exel, Inverse semigroups and combinatorial C*-algebras, Bull. Braz. Math. Soc. (N.S.) 39 (2008), no. 2, 191-313. · Zbl 1173.46035
[2] R. Exel and E. Pardo, The tight groupoid of an inverse semigroup, Semigroup Forum 92 (2016), no. 1, 274-303. · Zbl 1353.20040
[3] M. Laca and C. Sehnem, Toeplitz algebras of semigroups, Trans. Amer. Math. Soc. 375 (2022), no. 10, 7443-7507. · Zbl 1507.46048
[4] C. Starling, Boundary quotients of C*-algebras of right LCM semigroups, J. Funct. Anal. 268 (2015), no. 11, 3326-3356. · Zbl 1343.46055
[5] C. Starling, A new uniqueness theorem for the tight C*-algebra of an inverse semigroup, C. R. Math. Acad. Sci. Soc. R. Can. 44 (2022), no. 4, 88-112. · Zbl 07908847
[6] Carleton University, School of Mathematics and Statistics, 4302 Herzberg Laboratories, Ottawa, ON K1S 5B6 e-mail: cstar@math.carleton.ca
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.