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An example of a cosimple and co-commutative compact quantum semigroup

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Publication:1646422
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DOI10.3103/S1066369X1802007XzbMath1392.81148WikidataQ130135377 ScholiaQ130135377MaRDI QIDQ1646422

E. V. Lipacheva

Publication date: 25 June 2018

Published in: Russian Mathematics (Search for Journal in Brave)


zbMATH Keywords

Cuntz algebra\(C^\ast\)-algebrainverse semigroupCuntz semigroupsemigroup algebracompact quantum semigroupCuntz-Toeplitz algebraWagner representation


Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15) Schrödinger and Feynman-Kac semigroups (47D08) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)





Cites Work

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  • On compact quantum semigroup \(QS_{\text{red}}\)
  • A compact quantum semigroup generated by an isometry
  • Infinite-dimensional compact quantum semigroup
  • Compact matrix pseudogroups
  • Simple \(C^*\)-algebras generated by isometries
  • Algebra of functions on the quantum group SU(2)
  • Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
  • Hopf C*-Algebras
  • Operator approach to quantization of semigroups




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