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Extensions of Hilbert C*-modules II

Damir Bakić
Boris Guljaš

Puni tekst: engleski, pdf (565 KB) str. 341-357 preuzimanja: 55* citiraj
APA 6th Edition
Bakić, D. i Guljaš, B. (2003). Extensions of Hilbert C*-modules II. Glasnik matematički, 38 (2), 341-357. Preuzeto s https://hrcak.srce.hr/1326
MLA 8th Edition
Bakić, Damir i Boris Guljaš. "Extensions of Hilbert C*-modules II." Glasnik matematički, vol. 38, br. 2, 2003, str. 341-357. https://hrcak.srce.hr/1326. Citirano 24.10.2021.
Chicago 17th Edition
Bakić, Damir i Boris Guljaš. "Extensions of Hilbert C*-modules II." Glasnik matematički 38, br. 2 (2003): 341-357. https://hrcak.srce.hr/1326
Harvard
Bakić, D., i Guljaš, B. (2003). 'Extensions of Hilbert C*-modules II', Glasnik matematički, 38(2), str. 341-357. Preuzeto s: https://hrcak.srce.hr/1326 (Datum pristupa: 24.10.2021.)
Vancouver
Bakić D, Guljaš B. Extensions of Hilbert C*-modules II. Glasnik matematički [Internet]. 2003 [pristupljeno 24.10.2021.];38(2):341-357. Dostupno na: https://hrcak.srce.hr/1326
IEEE
D. Bakić i B. Guljaš, "Extensions of Hilbert C*-modules II", Glasnik matematički, vol.38, br. 2, str. 341-357, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/1326. [Citirano: 24.10.2021.]

Sažetak
We describe the pullback construction in the category of Hilbert C*-modules (with a suitable class of morphisms) in terms of pullbacks of underlying C*-algebras. In the second section the Busby invariant for extensions of Hilbert C*-modules is introduced and it is proved that each extension is uniquely determined, up to isomorphism, by the corresponding Busby map. The induced extensions of the underlying C*-algebras as well as of the corresponding linking algebras are also discussed. The paper ends with a Hilbert C*-module version of a familiar result which states that a C*-algebra is projective if and only if it is corona projective.

Ključne riječi
Hilbert C*-module; adjointable operator; extension; multiplier algebra

Hrčak ID: 1326

URI
https://hrcak.srce.hr/1326

Posjeta: 250 *