Ideals in Group algebra of Heisenberg Group

Full Text(PDF, 3000) PP.


Author(s) 
M. L. Joshi 

KEYWORDS 
Heisenberg group, Ideals in L1 algebra of the Heisenberg group, Semidirect product.


ABSTRACT 
In spectral theory ideals are very important. We derive the relation between non commutative and commutative algebra by a transformation which is associated to the semidirect product of groups. We obtain and classify the ideal in L1 algebra of Heisenberg group. 

References 

[1] Rudin,W., 1962, “Fourier analysis on groups,” Interscience publ, NewYork.
[2] C. A. Akemann and G. K. Pedersen, Ideal perturbations of elements in algebras, Math. Scand. 41 (1977)117139.
[3] H. J. Dauns, The primitive ideal space of a algebra,Canadian J. Math. 26 (1974) 4249
[4] Beurling, A., 1949, “On the spectral synthesis of bounded functions,” Acta. Math., 81, pp. 225–238.
[5] Helson, H., 1952, “On ideal structure of group algebras,” Ark. Math., 2, pp. 83–86.
[6] Reiter, H.J., 1948, “On certain class of ideals in the L1algebra of a locally compact abelian group,” Hans.
Am. Soc, 75, pp. 505–509.
[7] Calderon, A.P., 1956, “Ideals in group algebra, symposium on Harmonic analysis and related integral transforms,” Cornell University (imimeographed).
[8] Hers, C.S., 1958, “Spectral synthesis for the circle,” Ann. Math., 68, pp. 709–712.


