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Modern Operator Theory and Applications pp 137–166Cite as

A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 170))

Abstract

A nonlocal version of the Allan-Douglas local principle applicable to nonlocal C*-algebras \( \mathcal{B}\) associated with C*-dynamical systems is elaborated. This local-trajectory method allows one to study the invertibility of elements b ε \( \mathcal{B}\) in terms of invertibility of their local representatives. Isomorphism theorems for nonlocal C*-algebras are established.

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Authors and Affiliations

  1. Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, C.P. 62209, Cuernavaca, Morelos, México

    Yu. I. Karlovich

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  1. Yu. I. Karlovich
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Editor information

Editors and Affiliations

  1. Mechanical-Mathematics Department, Rostov State University, Zorge Str. 5, Rostov-on-Don, 344104, Russia

    Yakob M. Erusalimsky

  2. School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

  3. Departamento de Matemáticas, CINVESTAV, Apartado Postal 14-740, 07000, Mexico, D.F., Mexico

    Sergei M. Grudsky  & Nikolai Vasilevski  & 

  4. Instituto Politecnico Nacional, ESIME Zacatenco, Avenida IPN, Mexico, D. F., 07738, Mexico

    Vladimir Rabinovich

Additional information

To Professor I.B. Simonenko on the occasion of his 70th birthday

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Karlovich, Y.I. (2006). A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras. In: Erusalimsky, Y.M., Gohberg, I., Grudsky, S.M., Rabinovich, V., Vasilevski, N. (eds) Modern Operator Theory and Applications. Operator Theory: Advances and Applications, vol 170. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7737-3_9

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