Pregled bibliografske jedinice broj: 1103787
Fiberwise two-sided multiplications on homogeneous C*-algebras
Fiberwise two-sided multiplications on homogeneous C*-algebras // 27th International Conference in Operator Theory
Temišvar, Rumunjska, 2018. str. 1-1 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1103787 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Fiberwise two-sided multiplications on homogeneous
C*-algebras
Autori
Gogić, Ilja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
27th International Conference in Operator Theory
Mjesto i datum
Temišvar, Rumunjska, 02.07.2018. - 06.07.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
C*-algebra ; Homogeneous ; Two-sided multiplication ; Complex line bundle
Sažetak
We consider fiberwise two-sided multiplications on algebras of sections of locally trivial complex n×n (n≥2) matrix bundles over metrizable compact spaces (so called n- homogeneous C*-algebras). Using algebraic topology methods, we give necessary and sufficient conditions when are such maps global two-sided multiplications. As a consequence, we get that on such algebras non-global fiberwise two-sided multiplications always exist whenever the base space contains a non-empty open subset homeomorphic to (an open subset of) R^d, for some d≥3. This is joint work with Richard M. Timoney (Trinity College Dublin).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-1046 - Operatori na C*-algebrama i Hilbertovim modulima (OCAHM) (Bakić, Damir, HRZZ - 2016-06) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ilja Gogić
(autor)