Amenability and Co-Amenability for Locally Compact Quantum Groups

By E. Bedos, L. Tuset. 2003

130 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d3de9c9c2494be4bf50e197deb6c4d169f074c95

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In Algebra and Number Theory

1. Michael Brannan
2. Amaury Freslon
3. Yusuke Isono

In Geometry and Topology

1. Michael Brannan
2. Amaury Freslon
3. Yusuke Isono

In Mathematical Physics

1. Michael Brannan
2. Amaury Freslon
3. Yusuke Isono

Citations in the corpus

• Reduced operator algebras of trace-preserving quantum automorphism groups (2012, background): “ction we will assume that dimB≥ 5 (i.e., Gis not co-amenable), so that L∞(G) is non-injective, C r(G) is non-nuclear, and L1(G) does not have a bounded approximate identity (see [11], Theorem 1.1 and [12], Theorem 3.1). Recall that a Banach space Xhas the metric approximation property if there exist”
• Approximation properties for free orthogonal and free unitary quantum groups (2011, background): “Since G is not co-amenable, the Banach algebra L(1)ðGÞ fails to have a bounded approximate identity ([10], Theorem 3.”