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math.OA2009★ 4 cited
A tensor product of representations of UHF algebras arising from Kronecker products
Katsunori Kawamura
We introduce a non-symmetric tensor product of representations of UHF algebras by using Kronecker products of matrices. We prove tensor product formulae of GNS representations by p…
math.OA2009★ 3 cited
Biideals and a lattice of C-bialgebras associated with prime numbers
Katsunori Kawamura
Let be the C-algebra defined as the direct sum of all Cuntz algebras. Then has a non-cocommutative comultiplication and a counit . Let…