K-theory of braided tensor ring categories with higher commutativity |
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| Authors: | Gerald Dunn |
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| Institution: | (1) Department of Mathematical Sciences, New Mexico State University, 88003-0001 3MB Las Cruces, NM, USA |
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| Abstract: | We show that theK-theory of a Waldhausen categoryC with anA -ring structure is anA ring spectrum. If theA structure onC supports anE
n
structure, so thatBC group completes to ann-fold loop space, thenK (C) is anE
n
ring spectrum. In particular, theK-theory of the category of crossedG-sets,G a finite group, is anE
2 ring spectrum. |
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| Keywords: | braided bimonoidal category A ring spectrum" target="_blank">gif" alt="infin" align="MIDDLE" BORDER="0"> ring spectrum |
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