We extend the nonstandard hull construction of Luxemburg and we show that the proposed extension covers various other constructions such as the tracial and the weak nonstandard hull. We provide a novel proof that the tracial nonstandard hull of an internal von Neumann algebra is itself a von Neumann algebra. We prove that some extensively studied properties of C*-algebras are preserved and reflected by the nonstandard hull construction. Eventually, we show how to obtain hull--like representations of the two K--groups associated to the nonstandard hull of an internal C*-algebra.
Preservation of properties in nonstandard hulls of C*-algebras / Baratella, Stefano. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - STAMPA. - 2015 - 22:1(2015), pp. 119-142.
Titolo: | Preservation of properties in nonstandard hulls of C*-algebras |
Autori: | Baratella, Stefano |
Autori Unitn: | |
Titolo del periodico: | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN |
Anno di pubblicazione: | 2015 |
Numero e parte del fascicolo: | 1 |
Codice identificativo Scopus: | 2-s2.0-84960477713 |
Codice identificativo ISI: | WOS:000351893200011 |
Handle: | http://hdl.handle.net/11572/101252 |
Citazione: | Preservation of properties in nonstandard hulls of C*-algebras / Baratella, Stefano. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - STAMPA. - 2015 - 22:1(2015), pp. 119-142. |
Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
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