Finite generation in C*-algebras and Hilbert C*-modules

• Autorzy: David P. Blecher , Tomasz Kania
• Języki publikacji: EN

Abstrakty

EN

We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, C*-algebras satisfy the Dales-Żelazko conjecture.

Kategorie tematyczne

• 16D60: Simple and semisimple modules, primitive rings and ideals
• 46H10: Ideals and subalgebras
• 46L05: General theory of C * -algebras
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 16D25: Ideals
• 46L08: C * -modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 224
• Numer: 2
• Strony: 143-151

Daty

wydano

2014

Twórcy

autor

David P. Blecher

• Department of Mathematics, University of Houston, Houston, TX 77204-3008, U.S.A.

autor

Tomasz Kania

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland
• Department of Mathematics and Statistics, Fylde College, Lancaster University, Lancaster LA1 4YF, United Kingdom

Identyfikatory

DOI

10.4064/sm224-2-3