Perturbations of C*-algebraic invariants
作者： Erik Christensen , Allan Sinclair , Roger R. Smith , Stuart White
DOI: 10.1007/S00039-010-0070-Y
关键词:
摘要: Kadison and Kastler introduced a metric on the set of all C*-algebras fixed Hilbert space. In this paper structural properties which are close in examined. Our main result is that property having positive answer to Kadison’s similarity problem transfers C*-algebras. establishing we questions about closeness commutants tensor products when one algebra satisfies property. We also examine K-theory traces C*-algebras, showing sufficiently algebras have isomorphic Elliott invariants has
springer.com
core.ac.uk
harvard.edu
arxiv-vanity.com
ed.ac.uk
arxiv.org 参考文章(39)
M. Rørdam, Classification of Nuclear, Simple C*-algebras Springer Berlin Heidelberg. pp. 1- 145 ,(2002) , 10.1007/978-3-662-04825-2_1
Gerard J. Murphy, C*-Algebras and Operator Theory ,(1990)
Gilles Pisier, Similarity problems and completely bounded maps ,(1995)
Jacques Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien (algèbres de von Neumann) Gauthier-Villars. ,(1957)
Richard Kadison, John Robert Ringrose, Fundamentals of the Theory of Operator Algebras ,(1983)
Gilles Pisier, Introduction to Operator Space Theory ,(2003)
Kenneth R. Davidson, C*-algebras by example ,(1996)
Vern I. Paulsen, Completely Bounded Maps and Operator Algebras ,(2003)
Erik Christensen, Extensions of derivations II. Mathematica Scandinavica. ,vol. 50, pp. 111- 122 ,(1982) , 10.7146/MATH.SCAND.A-11948
John W. Bunce, The similarity problem for representations of *-algebras Proceedings of the American Mathematical Society. ,vol. 81, pp. 409- 414 ,(1981) , 10.1090/S0002-9939-1981-0597652-0