14 citations · 66 across the 13 of their papers we have counts for
13 papers
Branching laws for polynomial endomorphisms in CAR algebra for fermions, uniformly hyperfinite algebras and Cuntz algebras
Mitsuo Abe, Katsunori Kawamura
Previously, we have shown that the CAR algebra for fermions is embedded in the Cuntz algebra in such a way that the generators are expressed in terms of polynomials…
Question on the Existence of Gravitational Anomalies
Mitsuo Abe, Noboru Nakanishi
The existence of gravitational anomalies claimed by Alvarez-Gaume and Witten is examined critically. It is pointed out that they were unaware of the essential difference between T-…
Recursive Fermion System in Cuntz Algebra. II -- Endomorphism, Automorphism and Branching of Representation --
Mitsuo Abe, Katsunori Kawamura
Based on an embedding formula of the CAR algebra into the Cuntz algebra , properties of the CAR algebra are studied in detail by restricting those of the Cuntz…
Exact Solutions to the Two-dimensional BF and Yang-Mills Theories in the Light-cone Gauge
Mitsuo Abe, Noboru Nakanishi
It is shown that the BRS-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The struct…
Nonlinear Transformation Group of CAR Fermion Algebra
Mitsuo Abe, Katsunori Kawamura
Based on our previous work on the recursive fermion system in the Cuntz algebra, it is shown that a nonlinear transformation group of the CAR fermion algebra is induced from a $U(2…
Recursive Fermion System in Cuntz Algebra.I -- Embeddings of Fermion Algebra into Cuntz Algebra ---
Mitsuo Abe, Katsunori Kawamura
Embeddings of the CAR (canonical anticommutation relations) algebra of fermions into the Cuntz algebra (or more generally) are presented by using recur…