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Injective envelopes of C*-algebras

open access: yesJournal of the Mathematical Society of Japan, 1979
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Roe $$C^*$$C∗-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds

Mathematische Zeitschrift, 2016
We introduce the concept of Roe $$C^*$$C∗-algebra for a locally compact groupoid whose unit space is in general not compact, and that is equipped with an appropriate coarse structure and Haar system. Using Connes’ tangent groupoid method, we introduce an
Xiang Tang, R. Willett, Yi-jun Yao
semanticscholar   +1 more source

KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space

, 2014
We study the KMS states of the C⁎-algebra of a strongly connected finite k-graph. We find that there is only one 1-parameter subgroup of the gauge action that can admit a KMS state.
Astrid an Huef   +3 more
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Semigroupoid C*-algebras and ultragraph C*-algebras

Israel Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the commutativity of C* -algebras

manuscripta mathematica, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeang, Jyh-Shyang, Ko, Chun-Chieh
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On Perfect C ∗ -Algebras

Proceedings of the American Mathematical Society, 1986
It is shown that every injective \(C^*\)-algebra is perfect in the sense of \textit{F. W. Shultz} [Commun. Math. Physics 82, 497-509 (1982; Zbl 0488.46050)]. This generalizes the result of \textit{C. A. Akemann} and \textit{F. W. Shultz} for Type I von Neumann algebras [Mem. Am. Math. Soc. 326, 117 p. (1985; Zbl 0584.46045)].
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