Mathematics – Operator Algebras
Scientific paper
2010-01-12
Mathematics
Operator Algebras
19 pages
Scientific paper
Let $M_{*}({\bf C})$ denote the C$^{*}$-algebra defined as the direct sum of all matrix algebras $\{M_{n}({\bf C}):n\geq 1\}$. It is known that $M_{*}({\bf C})$ has a non-cocommutative comultiplication $\Delta_{\varphi}$. We show that the C$^{*}$-bialgebra $(M_{*}({\bf C}),\Delta_{\varphi})$ has a universal $R$-matrix $R$ such that the quasi-cocommutative C$^{*}$-bialgebra $(M_{*}({\bf C}),\Delta_{\varphi},R)$ is triangular.
No associations
LandOfFree
Triangular C$^{*}$-bialgebra defined as the direct sum of matrix algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Triangular C$^{*}$-bialgebra defined as the direct sum of matrix algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Triangular C$^{*}$-bialgebra defined as the direct sum of matrix algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-458763