Naslov
Fiberwise two-sided multiplications on homogeneous C*-algebras

Autori
Gogić, Ilja

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
20th Geometrical Seminar

Mjesto i datum
Vrnjačka Banja, Srbija, 20.05.2018. - 23.05.2018

Vrsta sudjelovanja
Pozvano 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 language, we give necessary and sufficient conditions when are such maps automatically 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 nonempty open subset homeomorphic to (an open subset of) R^d for some d≥3. This is a joint work with R. M. Timoney (Trinity College Dublin).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA