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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 2    
Website: http://www.ijser.org
scirp IJSER >> Volume 1, Issue 2, November-2010
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, Semi-direct 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 semi-direct product of groups. We obtain and classify the ideal in L1 -algebra of Heisenberg group.
References
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[2] C. A. Akemann and G. K. Pedersen, Ideal perturbations of elements in algebras, Math. Scand. 41 (1977)117-139.

[3] H. J. Dauns, The primitive ideal space of a -algebra,Canadian J. Math. 26 (1974) 42-49

[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 L1-algebra 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.

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