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- Compact_quantum_group abstract "In mathematics, a compact quantum group is an abstract structure on a unital separable C*-algebra axiomatized from those that exist on the commutative C*-algebra of "continuous complex-valued functions" on a compact quantum group.The basic motivation for this theory comes from the following analogy. The space of complex-valued functions on a compact Hausdorff topological space forms a commutative C*-algebra. On the other hand, by the Gelfand Theorem, a commutative C*-algebra is isomorphic to the C*-algebra of continuous complex-valued functions on a compact Hausdorff topological space, and the topological space is uniquely determined by the C*-algebra up to homeomorphism.S. L. Woronowicz introduced the important concept of compact matrix quantum groups, which he initially called compact pseudogroups. Compact matrix quantum groups are abstract structures on which the "continuous functions" on the structure are given by elements of a C*-algebra. The geometry of a compact matrix quantum group is a special case of a noncommutative geometry.".
- Compact_quantum_group wikiPageID "3852696".
- Compact_quantum_group wikiPageRevisionID "605985158".
- Compact_quantum_group hasPhotoCollection Compact_quantum_group.
- Compact_quantum_group subject Category:C*-algebras.
- Compact_quantum_group subject Category:Hopf_algebras.
- Compact_quantum_group subject Category:Quantum_groups.
- Compact_quantum_group type Abstraction100002137.
- Compact_quantum_group type Algebra106012726.
- Compact_quantum_group type Cognition100023271.
- Compact_quantum_group type Content105809192.
- Compact_quantum_group type Discipline105996646.
- Compact_quantum_group type Group100031264.
- Compact_quantum_group type HopfAlgebras.
- Compact_quantum_group type KnowledgeDomain105999266.
- Compact_quantum_group type Mathematics106000644.
- Compact_quantum_group type PsychologicalFeature100023100.
- Compact_quantum_group type PureMathematics106003682.
- Compact_quantum_group type QuantumGroups.
- Compact_quantum_group type Science105999797.
- Compact_quantum_group comment "In mathematics, a compact quantum group is an abstract structure on a unital separable C*-algebra axiomatized from those that exist on the commutative C*-algebra of "continuous complex-valued functions" on a compact quantum group.The basic motivation for this theory comes from the following analogy. The space of complex-valued functions on a compact Hausdorff topological space forms a commutative C*-algebra.".
- Compact_quantum_group label "Compact quantum group".
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- Compact_quantum_group sameAs Q5155316.
- Compact_quantum_group sameAs Q5155316.
- Compact_quantum_group sameAs Compact_quantum_group.
- Compact_quantum_group wasDerivedFrom Compact_quantum_group?oldid=605985158.
- Compact_quantum_group isPrimaryTopicOf Compact_quantum_group.