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Zero divisors and |
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| Authors: | Michael J. Puls |
| Affiliation: | Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061 |
| Abstract: | Let  be a discrete group,  the group ring of  over  and  the Lebesgue space of  with respect to Haar measure. It is known that if  is torsion free elementary amenable,  and  , then  . We will give a sufficient condition for this to be true when  , and in the case  we will give sufficient conditions for this to be false when  . |
| Keywords: | Group ring $p$-zero divisor uniform nonzero divisor Fourier transform regular point manifold of finite type |
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