Equivalence between the Morita categories of étale Lie groupoids and locally grouplike Hopf algebroids
Kališnik, Jure, 1980- ; Mrčun, Janez
Poljuben étale Liejev grupoid je popolnoma določen s pridruženo konvolucijsko algebro, opremljeno z naravno strukturo Hopfovega algebroida. V članku razširimo ta rezultat na posplošene morfizme med ...étale Liejevimi grupoidi: pokažemo namreč, da je poljuben glavni sveženj med grupoidi natanko določen s strukturo glavnega bimodula nad ustreznimi Hopfovimi algebroidi. Nadalje pokažemo, da nam funktor gladkih funkcij s kompaktnim nosilcem predstavlja ekvivalenco med Morita kategorijo étale Liejevih grupoidov in pa Morita kategorijo lokalno grupnih Hopfovih algebroidov.
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