Set Theory and C*-Algebras

Nik Weaver

Type: Article

Publication Date: 2007-03-01

Citations: 32

DOI: https://doi.org/10.2178/bsl/1174668215

Abstract

Abstract We survey the use of extra-set-theoretic hypotheses, mainly the continuum hypothesis, in the C*-algebra literature. The Calkin algebra emerges as a basic object of interest.

Locations

Bulletin of Symbolic Logic - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (32)

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+	Sums and intersections of symmetric operator spaces	2013	E. M. Semenov Fedor Sukochev
+	Gaps in the poset of projections in the Calkin algebra	2014	Beatriz Zamora-Aviles
+	Quantum measurable cardinals	2017	David P. Blecher Nik Weaver
+	All automorphisms of the Calkin algebra are inner	2007	Ilijas Farah
+ PDF Chat	A local Ramsey theory for block sequences	2017	Iian B. Smythe
+ PDF Chat	On the primitive ideals of nest algebras	2020	John Lindsay Orr
+	Borel equivalence relations in the space of bounded operators	2014	Iian B. Smythe
+	Borel equivalence relations in the space of bounded operators	2014	Iian B. Smythe
+ PDF Chat	The Calkin algebra has outer automorphisms	2007	N. Christopher Phillips Nik Weaver
+	The Proper Forcing Axiom	2011	Justin Tatch Moore

Works Cited by This (53)

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+	Rings with involution	1976	I. N. Herstein
+	An Introduction to βω	1984	Jan van Mill
+ PDF Chat	On the primariness of the Banach space $l\sb {\infty}/C\sb 0$	1991	Lech Drewnowski James W. Roberts
+	Theory of Operator Algebras II	2003	Masamichi Takesaki
+	C[]-algebras and W[]-algebras	1971	正一郎境
+ PDF Chat	Conversion from nonstandard matrix algebras to standard factors of type $\mathrm{II}_{1}$	1993	Takanori Hinokuma Masanao Ozawa
+	C-Algebras and Their Automorphism Groups	1979	Gert Kjærgård Pedersen
+ PDF Chat	Simple Bratteli diagrams with a Gödel-incomplete C*-equivalence problem	2003	Daniele Mundici
+ PDF Chat	Maximal nests in the Calkin algebra	1998	Don Hadwin
+	Mathematical Theory of Quantum Fields	1999	Huzihiro Araki